@Preamble{
"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
}
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{j-ABSTR-APPL-ANAL = "Abstract and Applied Analysis"}
@String{j-ACTA-ARITHMETICA = "Acta Arithmetica"}
@String{j-ACTA-MATH = "Acta Mathematica"}
@String{j-AM-J-MATH = "American Journal of Mathematics"}
@String{j-AM-SCI = "American Scientist"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-MATH = "Annals of Mathematics"}
@String{j-ANN-MATH-2 = "Annals of Mathematics (2)"}
@String{j-ANN-MATH-STAT = "Annals of Mathematical Statistics"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-BIT = "BIT (Nordisk tidskrift for
informationsbehandling)"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-BULL-LOND-MATH-SOC = "Bulletin of the London Mathematical Society"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics =
Journal canadien de math{\'e}matiques"}
@String{j-CAN-MATH-BULL = "Bulletin canadien de
math\-{\'e}\-mat\-iques = Canadian
Mathematical Bulletin"}
@String{j-COMBIN-PROBAB-COMPUT = "Combinatorics, Probability and Computing"}
@String{j-COMMUN-STAT-SIMUL-COMPUT = "Communications in Statistics: Simulation
and Computation"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMPOS-MATH = "Compositio Mathematica"}
@String{j-CONG-NUM = "Congressus Numerantium"}
@String{j-CZECH-MATH-J = "Czechoslovak Mathematical Journal =
Chekhoslovatskii Matematicheskii Zhurnal"}
@String{j-DESIGNS-CODES-CRYPTOGR = "Designs, Codes, and Cryptography"}
@String{j-DUKE-MATH-J = "Duke Mathematical Journal"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis (ETNA)"}
@String{j-EXP-MATH = "Experimental Mathematics"}
@String{j-FIB-QUART = "Fibonacci Quarterly"}
@String{j-GLASG-MATH-J = "Glasgow Mathematical Journal"}
@String{j-IEE-PROC-COMPUT-DIGIT-TECH = "IEE Proceedings. Computers and Digital
Techniques"}
@String{j-IEEE-ANN-HIST-COMPUT = "IEEE Annals of the History of Computing"}
@String{j-IEEE-TRANS-ELEC-COMPUT = "IEEE Transactions on Electronic Computers"}
@String{j-ILL-J-MATH = "Illinois Journal of Mathematics"}
@String{j-INT-J-NUMBER-THEORY = "International Journal of Number Theory"}
@String{j-J-ACM = "Journal of the ACM"}
@String{j-J-ALGEBRA = "Journal of Algebra"}
@String{j-J-APPL-STAT = "Journal of Applied Statistics"}
@String{j-J-AUSTRALIAN-MATH-SOC = "Journal of the Australian Mathematical
Society"}
@String{j-J-AUSTRAL-MATH-SOC-SER-A = "Journal of the Australian Mathematical
Society. Series A"}
@String{j-J-COMB-THEORY-A = "Journal of Combinatorial Theory (Series A)"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-LOND-MATH-SOC = "Journal of the London Mathematical Society"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
@String{j-J-NUMBER-THEORY = "Journal of Number Theory"}
@String{j-J-REINE-ANGEW-MATH = "{Journal f{\"u}r die reine und angewandte
Mathematik}"}
@String{j-J-SIAM = "Journal of the Society for Industrial and
Applied Mathematics"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-JAPAN-J-MATH-N-S = "Japanese Journal of Mathematics. New Series"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LIN-AND-MULT-ALGEBRA = "Linear and Multilinear Algebra"}
@String{j-LMS-J-COMPUT-MATH = "LMS Journal of Computation and Mathematics"}
@String{j-MATH-ANN = "Mathematische Annalen"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-GAZ = "The Mathematical Gazette"}
@String{j-MATH-MAG = "Mathematics Magazine"}
@String{j-MATH-NACHR = "{Mathematische Nachrichten}"}
@String{j-MATH-REV = "Mathematical Reviews"}
@String{j-MATH-STUDENT = "The Mathematics Student"}
@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
to Computation"}
@String{j-MATHEMATIKA = "Mathematika"}
@String{j-MONAT-MATH = "{Monatshefte f{\"u}r Mathematik}"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NUM-MATH = "{Numerische Mathematik}"}
@String{j-PAC-J-APPL-MATH = "Pacific Journal of Applied Mathematics"}
@String{j-PAC-J-MATH = "Pacific Journal of Mathematics"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-PROC-LONDON-MATH-SOC-3 = "Proc. London Math. Soc. (2)"}
@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
Sciences of the United States of America"}
@String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"}
@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}
@String{j-SCIENCE = "Science"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical
Society"}
@String{j-UTIL-MATH = "Utilitas Mathematica"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr = "Cambridge, UK"}
@String{pub-DEKKER = "Marcel Dekker"}
@String{pub-DEKKER:adr = "New York, NY, USA"}
@String{pub-HARVARD = "Harvard University Press"}
@String{pub-HARVARD:adr = "Cambridge, MA, USA"}
@String{pub-MAA = "Mathematical Association of America"}
@String{pub-MAA:adr = "Washington, DC, USA"}
@String{pub-NORTH-HOLLAND = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-STANFORD = "Stanford University Press"}
@String{pub-STANFORD:adr = "Stanford, CA, USA"}
@String{pub-SV = "Springer-Verlag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{pub-WI = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WI:adr = "New York, NY, USA"}
@Article{Lehmer:1925:QDD,
author = "Derrick Henry Lehmer",
title = "Questions and Discussions: Discussions: On the Use of
the Calculating Machine for Cube and Fifth Roots",
journal = j-AMER-MATH-MONTHLY,
volume = "32",
number = "7",
pages = "377--379",
month = aug # "\slash " # sep,
year = "1925",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2298804",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1520737",
bibdate = "Mon Jun 28 12:37:45 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1926:CDP,
author = "Derrick Henry Lehmer",
title = "A Cross-Division Process and its Application to the
Extraction of Roots",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "4",
pages = "198--206",
month = apr,
year = "1926",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2299536",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1520908",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1926:IE,
author = "Derrick Henry Lehmer",
title = "On the indeterminate equation {$ t^2 - p^2 D u^2 = 1
$}",
journal = j-ANN-MATH-2,
volume = "27",
number = "4",
pages = "471--476",
year = "1926",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1967697",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1502749",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1926:PSPa,
author = "D. H. Lehmer",
title = "Problems and Solutions: Problems for Solution: 3206",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "7",
pages = "385--385",
month = aug # "\slash " # sep,
year = "1926",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:08 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Andrew:1927:PSS,Bullard:1927:PSS,Lehmer:1929:PSS,Mills:1927:PSS,Spunar:1927:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1926:PSPb,
author = "D. H. Lehmer",
title = "Problems and Solutions: Problems for Solution: 3182",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "5",
pages = "278--279",
month = may,
year = "1926",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Fitch:1961:APS,Irwin:1927:PSS,Riley:1927:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Lehmer:1926:VNB,
author = "Derrick Henry Lehmer",
title = "On the Value of the {Napierian} Base",
journal = j-AM-J-MATH,
volume = "48",
number = "2",
pages = "139--143",
year = "1926",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2370743",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "DML",
MRnumber = "1506580",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1927:PSS,
author = "D. H. Lehmer",
title = "Problems and Solutions: Solutions: 3194",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "381--382",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1927:TPC,
author = "D. H. Lehmer",
title = "Tests for primality by the converse of {Fermat}'s
theorem",
journal = j-BULL-AMS,
volume = "33",
number = "3",
pages = "327--340",
year = "1927",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1927-04368-3",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1561374",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Spunar:1927:PSS,
author = "V. M. Spunar and D. H. Lehmer",
title = "Problems and Solutions: Solutions: 3208",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "6",
pages = "339--339",
month = jun # "\slash " # jul,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1928:MCL,
author = "D. H. Lehmer",
title = "The Mechanical Combination of Linear Forms",
journal = j-AMER-MATH-MONTHLY,
volume = "35",
number = "3",
pages = "114--121",
month = mar,
year = "1928",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2299504",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1521394",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1928:MSP,
author = "D. H. Lehmer",
title = "On the multiple solutions of the {Pell} equation",
journal = j-ANN-MATH-2,
volume = "30",
number = "1-4",
pages = "66--72",
year = "1928/29",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968268",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1502870",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1929:PSS,
author = "D. H. Lehmer",
title = "Problems and Solutions: Solutions: 3206",
journal = j-AMER-MATH-MONTHLY,
volume = "36",
number = "3",
pages = "173--173",
month = mar,
year = "1929",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1929:SDS,
author = "D. H. Lehmer",
title = "On {Stern}'s Diatomic Series",
journal = j-AMER-MATH-MONTHLY,
volume = "36",
number = "2",
pages = "59--67",
month = feb,
year = "1929",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2299356",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1521653",
bibdate = "Mon Jun 28 12:39:03 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Irwin:1930:PSS,
author = "Frank Irwin and Emma T. Lehmer",
title = "Problems and Solutions: Solutions: 3350",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "9",
pages = "508--510",
month = nov,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Corey:1928:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1930:DAS,
author = "D. H. Lehmer",
title = "The $p$ Dimensional Analogue of {Smith}'s
Determinant",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "6",
pages = "294--296",
month = jun # "\slash " # jul,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1930:ETLa,
author = "D. H. Lehmer",
title = "An extended theory of {Lucas}' functions",
journal = j-ANN-MATH-2,
volume = "31",
number = "3",
pages = "419--448",
year = "1930",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968235",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1502953",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@PhdThesis{Lehmer:1930:ETLb,
author = "Derrick Henry Lehmer",
title = "An Extended Theory of {Lucas}' Functions",
type = "Thesis ({Ph.D.})",
school = "Brown University",
address = "Providence, RI, USA",
pages = "30",
year = "1930",
MRclass = "Thesis",
MRnumber = "2936243",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.proquest.com/docview/301779711/EB0B951CDB47418APQ",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1930:DN,
author = "D. H. Lehmer",
title = "On the $r$-th Divisors of a Number",
journal = j-AM-J-MATH,
volume = "52",
number = "2",
pages = "293--304",
year = "1930",
CODEN = "AJMAAN",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2370684",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Mathematics",
}
@Article{Wong:1930:PSS,
author = "B. C. Wong and Emma T. Lehmer",
title = "Problems and Solutions: Solutions: 3414",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "558--558",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1931:ADS,
author = "D. H. Lehmer",
title = "Arithmetic of double series",
journal = j-TRANS-AM-MATH-SOC,
volume = "33",
number = "4",
pages = "945--957",
year = "1931",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1989517",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11A25",
MRnumber = "1501625",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Lehmer:1931:FLN,
author = "D. H. Lehmer and R. E. Powers",
title = "On factoring large numbers",
journal = j-BULL-AMS,
volume = "37",
number = "10",
pages = "770--776",
year = "1931",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1931-05271-X",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562254",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1931:NCN,
author = "D. H. Lehmer",
title = "A New Calculus of Numerical Functions",
journal = j-AM-J-MATH,
volume = "53",
number = "4",
pages = "843--854",
year = "1931",
CODEN = "AJMAAN",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2371229",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1931:PSP,
author = "Emma T. Lehmer and Vladimir F. Ivanoff and Nathan
Altshiller-Court",
title = "Problems and Solutions: Problems for Solution:
3475--3478",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "2",
pages = "111--112",
month = feb,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:08 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Altshiller-Court:1932:PSSa,Ivanoff:1932:PSSa,Ivanoff:1932:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1932:APB,
author = "D. H. Lehmer",
title = "Arithmetical periodicities of {Bessel} functions",
journal = j-ANN-MATH-2,
volume = "33",
number = "1",
pages = "143--150",
year = "1932",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968107",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1503040",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1932:ETF,
author = "D. H. Lehmer",
title = "On {Euler}'s totient function",
journal = j-BULL-AMS,
volume = "38",
number = "10",
pages = "745--751",
year = "1932",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1932-05521-5",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562500",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1932:NFL,
author = "D. H. Lehmer",
title = "A note on {Fermat's Last Theorem}",
journal = j-BULL-AMS,
volume = "38",
number = "10",
pages = "723--724",
year = "1932",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1932-05515-X",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562496",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1932:NMN,
author = "D. H. Lehmer",
title = "Note on {Mersenne} numbers",
journal = j-BULL-AMS,
volume = "38",
number = "6",
pages = "383--384",
year = "1932",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1932-05396-4",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562402",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1932:QCP,
author = "D. H. Lehmer",
title = "Quasi-Cyclotomic Polynomials",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "7",
pages = "383--389",
month = aug # "\slash " # sep,
year = "1932",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2300384",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1522570",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1932:TAA,
author = "D. H. Lehmer",
title = "A Ternary Analogue of {Abelian} Groups",
journal = j-AM-J-MATH,
volume = "54",
number = "2",
pages = "329--338",
year = "1932",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2370997",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "DML",
MRnumber = "1506898",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1933:FCC,
author = "D. H. Lehmer",
title = "Factorization of Certain Cyclotomic Functions",
journal = j-ANN-MATH,
volume = "34",
number = "3",
pages = "461--479",
year = "1933",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968172",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1503118",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/1968172",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematics",
journal-URL = "http://annals.math.princeton.edu/;
http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1933:NNT,
author = "D. H. Lehmer",
title = "Numerical Notations and Their Influence on
Mathematics",
journal = "Math. News Lett.",
volume = "7",
number = "6",
pages = "8--12",
year = "1933",
ISSN = "1539-557X",
MRclass = "DML",
MRnumber = "1569053",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/3027767?origin=pubexport",
acknowledgement = ack-nhfb,
fjournal = "Mathematics News Letter",
}
@Article{Lehmer:1933:NTA,
author = "D. H. Lehmer",
title = "A Note on Trigonometric Algebraic Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "3",
pages = "165--166",
year = "1933",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2301023",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1933:PEN,
author = "D. H. Lehmer",
title = "A Photo-Electric Number Sieve",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "7",
pages = "401--406",
month = aug # "\slash " # sep,
year = "1933",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302134",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1522863",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See corrigenda \cite{Anonymous:1933:CPE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1933:QDN,
author = "D. H. Lehmer",
title = "Questions, Discussions, and Notes: {A} Note on
Trigonometric Algebraic Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "3",
pages = "165--166",
month = mar,
year = "1933",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2301023",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1522747",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1933:SNF,
author = "D. H. Lehmer",
title = "Some new factorizations of {$ 2^n \pm 1 $}",
journal = j-BULL-AMS,
volume = "39",
number = "2",
pages = "105--108",
year = "1933",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1933-05571-4",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1562560",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1934:MCS,
author = "D. H. Lehmer",
title = "A machine for combining sets of linear congruences",
journal = j-MATH-ANN,
volume = "109",
number = "1",
pages = "661--667",
year = "1934",
CODEN = "MAANA3",
DOI = "https://doi.org/10.1007/BF01449160",
ISSN = "0025-5831 (print), 1432-1807 (electronic)",
ISSN-L = "0025-5831",
MRclass = "DML",
MRnumber = "1512915",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematische Annalen",
journal-URL = "http://link.springer.com/journal/208",
}
@Article{Gloden:1935:PSE,
author = "A. Gloden and D. H. Lehmer and V. Th{\'e}bault and M.
O. Reade and C. A. Richmond and W. F. {Cheney, Jr.}",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E181}--{E186}",
journal = j-AMER-MATH-MONTHLY,
volume = "42",
number = "10",
pages = "621--622",
month = dec,
year = "1935",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:00 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Cheney:1936:PSEe,Gloden:1936:PSEb,Lehmer:1936:PSEb,Reade:1936:PSE,Richmond:1936:PSE,Richmond:1937:PSE,Thebault:1936:PSEe}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1935:LRF,
author = "D. H. Lehmer",
title = "Lacunary recurrence formulas for the numbers of
{Bernoulli} and {Euler}",
journal = j-ANN-MATH-2,
volume = "36",
number = "3",
pages = "637--649",
year = "1935",
CODEN = "ANMAAH",
DOI = "https://doi.org/10.2307/1968647",
ISSN = "0003-486x (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
MRclass = "DML",
MRnumber = "1503241",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematics. Second Series",
journal-URL = "http://www.jstor.org/action/showPublication?journalCode=annamath",
}
@Article{Lehmer:1935:LTP,
author = "D. H. Lehmer",
title = "On {Lucas}'s Test for the Primality of {Mersenne}'s
Numbers",
journal = j-J-LOND-MATH-SOC,
volume = "s1-10",
number = "3",
pages = "162--165",
month = jul,
year = "1935",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-10.2.162",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Mon Jan 31 10:10:16 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1936:BRB,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{British Association
Mathematical Tables. Vol. V. Factor Table}}. By J.
Peters, A. Lodge and E. J. Ternouth, E. Gifford. xv +
291 pp. London, 1935. 20s.}",
journal = j-SCIENCE,
volume = "84",
number = "2189",
pages = "535--536",
day = "11",
month = dec,
year = "1936",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.84.2189.535.b",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Mon Jan 31 10:35:25 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Lehmer:1936:CFT,
author = "D. H. Lehmer",
title = "On the Converse of {Fermat's Theorem}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "347--354",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2301798",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1523680",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1936:CR,
author = "D. H. Lehmer",
title = "On a Conjecture of {Ramanujan}",
journal = j-J-LOND-MATH-SOC,
volume = "s1-11",
number = "2",
pages = "114--118",
month = apr,
year = "1936",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-11.2.114",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Mon Jan 31 10:08:35 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1936:ETB,
author = "D. H. Lehmer",
title = "An extension of the table of {Bernoulli} numbers",
journal = j-DUKE-MATH-J,
volume = "2",
number = "3",
pages = "460--464",
year = "1936",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-36-00238-7",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "DML",
MRnumber = "1545938",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1936:PAC,
author = "D. H. Lehmer",
title = "Polynomials for the $n$-Ary Composition of Numerical
Functions",
journal = j-AM-J-MATH,
volume = "58",
number = "3",
pages = "563--572",
year = "1936",
CODEN = "AJMAAN",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2370974",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1936:PSA,
author = "D. H. Lehmer and Frank {Ayres, Jr.} and N. A. Court
and R. E. Gaines and R. Goormaghtigh",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3801--3806",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "9",
pages = "580--581",
month = nov,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Ayres:1938:PSA,Court:1938:PSAc,Gaines:1938:PSA,Lehmer:1938:PSA,Lehmer:1938:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1936:PSEa,
author = "Emma Lehmer and L. S. Johnston and V. Th{\'e}bault and
G. A. Whittemore and J. M. Feld and S. A. Anderson",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E205}--{E210}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "4",
pages = "241--242",
month = apr,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:08 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Anderson:1936:PSE,Feld:1936:PSEc,Johnston:1936:PSE,Lehmer:1936:PSEc,Thebault:1936:PSEj,Whittemore:1936:PSE,Whittemore:1938:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1936:PSEb,
author = "D. H. Lehmer and E. P. Starke",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E182}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "5",
pages = "307--308",
month = may,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:10 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1936:PSEc,
author = "Emma Lehmer and Frank {Ayres, Jr.}",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E205}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "639--640",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1937:HRS,
author = "D. H. Lehmer",
title = "On the {Hardy--Ramanujan} Series for the Partition
Function",
journal = j-J-LOND-MATH-SOC,
volume = "s1-12",
number = "3",
pages = "171--176",
month = jul,
year = "1937",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-12.2.171",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
bibdate = "Mon Jan 31 10:11:47 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1937:N,
author = "D. H. Lehmer",
title = "A Note on $ m^2 = n! + 1 $",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "3",
pages = "166--167",
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2301663",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1937:QDNa,
author = "D. H. Lehmer",
title = "Questions, Discussions, and Notes: {A} Note on $ m^2 =
n! + 1 $",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "3",
pages = "166--167",
month = mar,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1937:QDNb,
author = "Emma Lehmer",
title = "Questions, Discussions, and Notes: {A} Note on
{Wilson}'s Quotient",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "4",
pages = "237--238",
month = apr,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1937:QDNc,
author = "Emma Lehmer",
title = "Questions, Discussions, and Notes: On the Congruence $
(p - 1)! \equiv - 1 (\bmod p^2) $",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "7",
pages = "462--462",
month = aug # "\slash " # sep,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:37 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1937:RPR,
author = "D. N. Lehmer",
title = "Recent Publications: Reviews: {{\em Construction,
Classification and Census of Magic Squares of Even
Order}}, by {A. L. Candy}",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "8",
pages = "528--528",
month = oct,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:39 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Wallace:1937:PSA,
author = "Don Wallace and Emma Lehmer and Paul Erd{\H{o}}s and
H. P. Thielman and J. R. Musselman and V. Th{\'e}bault",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3832--3840",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "6",
pages = "393--395",
month = jun # "\slash " # jul,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:35 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1958:APSa,Lehmer:1939:PSA,Musselman:1939:PSAb,Thebault:1939:PSAh,Thebault:1940:PSAk,Thielman:1939:PSS,Thielman:1940:PSA,Wallace:1939:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Alfieri:1938:PSEa,
author = "F. A. Alfieri and J. E. Trevor and W. F. {Cheney, Jr.}
and N. A. Court and Joseph Rosenbaum and D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E315}--{E320}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "2",
pages = "117--118",
month = feb,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:48 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Alfieri:1938:PSEd,Cheney:1938:PSEc,Court:1938:PSEc,Lehmer:1939:PSE,Rosenbaum:1938:PSEb,Trevor:1938:PSEb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ayres:1938:PSA,
author = "Frank {Ayres, Jr.} and Emma Lehmer",
title = "Problems and Solutions: Advanced Problems: 3803",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "633--634",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Finkel:1938:PSE,
author = "Daniel Finkel and Emma Lehmer",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E300}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "320--321",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1938:ARa,
author = "D. H. Lehmer",
title = "On Arccotangent Relations for $ \pi $",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "657--664",
month = dec,
year = "1938",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302434",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1524440",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1938:ASM,
author = "D. H. Lehmer",
title = "An application of {Schl{\"a}fli}'s modular equation to
a conjecture of {Ramanujan}",
journal = j-BULL-AMS,
volume = "44",
number = "2",
pages = "84--90",
year = "1938",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1938-06690-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1563687",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1938:CAC,
author = "D. H. Lehmer",
title = "A cotangent analogue of continued fractions",
journal = j-DUKE-MATH-J,
volume = "4",
number = "2",
pages = "323--340",
year = "1938",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-38-00424-7",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "DML",
MRnumber = "1546053",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1938:EAL,
author = "D. H. Lehmer",
title = "{Euclid}'s Algorithm for Large Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "4",
pages = "227--233",
year = "1938",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302607",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1524250",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1938:PSA,
author = "D. H. Lehmer and M. T. Bird",
title = "Problems and Solutions: Advanced Problems: 3802",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "632--633",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1938:PSE,
author = "D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems:
Solutions: {Euclid}'s Algorithm for Large Numbers",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "4",
pages = "227--233",
month = apr,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1938:PSS,
author = "D. H. Lehmer and M. A. Heaslet",
title = "Problems and Solutions: Solutions: 3801",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "636--637",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1938:SPF,
author = "D. H. Lehmer",
title = "On the series for the partition function",
journal = j-TRANS-AM-MATH-SOC,
volume = "43",
number = "2",
pages = "271--295",
year = "1938",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1990043",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11P82",
MRnumber = "1501943",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Erdos:1939:PSAb,
author = "Paul Erd{\H{o}}s and Emma Lehmer",
title = "Problems and Solutions: Advanced Problems: 3820",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "4",
pages = "240--241",
month = apr,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1939:FTA,
author = "D. H. Lehmer",
title = "A factorization theorem applied to a test for
primality",
journal = j-BULL-AMS,
volume = "45",
number = "2",
pages = "132--137",
year = "1939",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1939-06917-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1563926",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1939:NAC,
author = "D. H. Lehmer",
title = "Note on an Absolute Constant of {Khintchine}",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "3",
pages = "148--152",
month = mar,
year = "1939",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302463",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "DML",
MRnumber = "1524526",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1939:PSA,
author = "Emma Lehmer",
title = "Problems and Solutions: Advanced Problems: 3833",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "8",
pages = "516--517",
month = oct,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:26 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1939:PSE,
author = "D. H. Lehmer and K. W. Miller",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E320}",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "1",
pages = "49--52",
month = jan,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:10 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1939:RCS,
author = "D. H. Lehmer",
title = "On the remainders and convergence of the series for
the partition function",
journal = j-TRANS-AM-MATH-SOC,
volume = "46",
pages = "362--373",
year = "1939",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1989927",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "10.0X",
MRnumber = "410",
MRreviewer = "H. Rademacher",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Lehmer:1940:LPD,
author = "D. H. Lehmer",
title = "The lattice points of an $n$-dimensional tetrahedron",
journal = j-DUKE-MATH-J,
volume = "7",
pages = "341--353",
year = "1940",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "10.0X",
MRnumber = "3013",
MRreviewer = "D. C. Spencer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077492260",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1940:MMB,
author = "D. H. Lehmer",
title = "On the Maxima and Minima of {Bernoulli} Polynomials",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "8",
pages = "533--538",
month = oct,
year = "1940",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2303833",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "33.0X",
MRnumber = "2378",
MRreviewer = "W. E. Milne",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Rufus:1940:PSEa,
author = "W. C. Rufus and V. Th{\'e}bault and A. Gloden and Ruth
Mason Ballard and Emma Lehmer",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E425}--{E429}, {E407}, {E409}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "6",
pages = "395--396",
month = jun # "\slash " # jul,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Browne:1941:PSEa,
author = "D. H. Browne and V. Th{\'e}bault and N. A. Court and
Emma Lehmer and L. S. Johnston",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E461}--{E465}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "3",
pages = "210--210",
month = mar,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:12 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Browne:1941:PSEb,Court:1942:PSEa,Johnston:1942:PSE,Lehmer:1942:PSE,Thebault:1941:PSEk}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1941:BRR,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Ramanujan. Twelve lectures
on subjects suggested by his life and work}}. By G. H.
Hardy. 236 pp. Cambridge: at the University Press,
1940. New York: The Macmillan Company, 1941. \$6.00}",
journal = j-SCIENCE,
volume = "92",
number = "2426",
pages = "620--621",
day = "27",
month = jun,
year = "1941",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.93.2426.620",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Mon Jan 31 10:31:58 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Lehmer:1941:FCF,
author = "D. H. Lehmer and Emma Lehmer",
title = "On the first case of {Fermat's Last Theorem}",
journal = j-BULL-AMS,
volume = "47",
pages = "139--142",
year = "1941",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1941-07393-3",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "3657",
MRreviewer = "R. D. James",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Book{Lehmer:1941:GTT,
author = "Derrick Henry Lehmer",
title = "Guide to Tables in the Theory of Numbers",
publisher = "National Research Council",
address = "Washington, DC, USA",
pages = "xiv + 177",
year = "1941",
MRclass = "10.0X",
MRnumber = "0003625",
MRreviewer = "R. D. Carmichael",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Bulletin of the National Research Council, No. 105",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1941:NLD,
author = "D. H. Lehmer",
title = "A Note on the Linear {Diophantine} Equation",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "4",
pages = "240--246",
month = apr,
year = "1941",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2302718",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "3635",
MRreviewer = "R. D. James",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1941:PSE,
author = "Emma Lehmer and E. P. Starke",
title = "Problems and Solutions: Elementary Problems: {E429}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "3",
pages = "212--212",
month = mar,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:12 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1942:PCM,
author = "D. H. Lehmer",
title = "Properties of the coefficients of the modular
invariant {$ J(\tau) $}",
journal = j-AM-J-MATH,
volume = "64",
pages = "488--502",
year = "1942",
CODEN = "AJMAAN",
DOI = "https://doi.org/10.2307/2371699",
ISSN = "0002-9327 (print), 1080-6377 (electronic)",
ISSN-L = "0002-9327",
MRclass = "10.0X",
MRnumber = "6210",
MRreviewer = "H. S. Zuckerman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Mathematics",
}
@Article{Lehmer:1942:PSE,
author = "Emma Lehmer",
title = "Problems and Solutions: Elementary Problems: {E464}",
journal = j-AMER-MATH-MONTHLY,
volume = "49",
number = "2",
pages = "121--122",
month = feb,
year = "1942",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:32 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1943:RF,
author = "D. H. Lehmer",
title = "{Ramanujan}'s function $ \tau (n) $",
journal = j-DUKE-MATH-J,
volume = "10",
pages = "483--492",
year = "1943",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "10.0X",
MRnumber = "8619",
MRreviewer = "H. S. Zuckerman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077472092",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Lehmer:1943:RFC,
author = "D. H. Lehmer",
title = "Recurrence formulas for certain divisor functions",
journal = j-BULL-AMS,
volume = "49",
pages = "150--156",
year = "1943",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1943-07880-9",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "7757",
MRreviewer = "R. D. James",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1943:TMP,
author = "D. H. Lehmer",
title = "Tables to Many Places of Decimals",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "1",
pages = "30--31",
year = "1943",
CODEN = "MTTCAS",
ISSN = "0891-6837",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1944:ITP,
author = "Emma Lehmer",
title = "Inverse Tables of Probabilities of Errors of the
Second Kind",
journal = j-ANN-MATH-STAT,
volume = "15",
number = "4",
pages = "388--398",
month = dec,
year = "1944",
CODEN = "AASTAD",
DOI = "https://doi.org/10.1214/aoms/1177731209",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "62.0X",
MRnumber = "0011411 (6,161h)",
MRreviewer = "J. Wolfowitz",
bibdate = "Sat May 31 09:10:32 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/annmathstat.bib",
URL = "http://projecteuclid.org/euclid.aoms/1177731209",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@Article{Lehmer:1944:NCB,
author = "Derrick Henry Lehmer",
title = "Note on the Computation of the {Bessel} Function {$
I_n(X) $}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "5",
pages = "133--135",
month = apr,
year = "1944",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-44-99053-8",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:44:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "Original journal has only `D. H. L.' as author:
probably D. H. Lehmer. AMS metadata now shows the full
name.",
}
@Article{Wall:1944:PSA,
author = "H. S. Wall and R. C. Buck and D. H. Lehmer",
title = "Problems and Solutions: Advanced Problems: 4067",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "6",
pages = "353--355",
month = jun # "\slash " # jul,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:27 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1945:GPA,
author = "D. H. Lehmer",
title = "The {Graeffe} process as applied to power series",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "1",
number = "10",
pages = "377--383",
month = apr,
year = "1945",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
MRclass = "65.0X",
MRnumber = "7,84a; 12913",
MRreviewer = "M. Marden",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Browne:1946:PSEa,
author = "D. H. Browne and Victor Th{\'e}bault and M. P. de Regt
and N. A. Court and D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E706}--{E710}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "2",
pages = "97--97",
month = feb,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Browne:1946:PSEc,Court:1946:PSEb,deRegt:1946:PSS,Lehmer:1946:PSE,Thebault:1946:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1946:PSE,
author = "D. H. Lehmer and D. M. Smiley and M. F. Smiley and
John Williamson",
title = "Problems and Solutions: Elementary Problems: {E710}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "9",
pages = "534--535",
month = nov,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1946:TNT,
author = "D. H. Lehmer",
title = "Two nonexistence theorems on partitions",
journal = j-BULL-AMS,
volume = "52",
pages = "538--544",
year = "1946",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1946-08605-X",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "16072",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1947:F,
author = "D. H. Lehmer",
title = "On the factors of {$ 2^n \pm 1 $}",
journal = j-BULL-AMS,
volume = "53",
pages = "164--167",
year = "1947",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1947-08774-7",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "19635",
MRreviewer = "N. G. W. H. Beeger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1947:TEP,
author = "D. H. Lehmer",
title = "The {Tarry--Escott} problem",
journal = "Scripta Math.",
volume = "13",
pages = "37--41",
year = "1947",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "21550",
MRreviewer = "N. G. W. H. Beeger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
}
@Article{Lehmer:1947:VRF,
author = "D. H. Lehmer",
title = "The vanishing of {Ramanujan}'s function {$ \tau (n)
$}",
journal = j-DUKE-MATH-J,
volume = "14",
pages = "429--433",
year = "1947",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "10.0X",
MRnumber = "21027",
MRreviewer = "R. A. Rankin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077474140",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Olds:1947:PSE,
author = "C. D. Olds and D. H. Lehmer",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E760}",
journal = j-AMER-MATH-MONTHLY,
volume = "54",
number = "8",
pages = "478--478",
month = oct,
year = "1947",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:39 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Olds:1947:EPS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1948:APS,
author = "Emma Lehmer",
title = "Advanced Problems and Solutions: Problems for
Solution: 4307",
journal = j-AMER-MATH-MONTHLY,
volume = "55",
number = "7",
pages = "431--432",
month = aug # "\slash " # sep,
year = "1948",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:00 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1962:APS,Goormaghtigh:1950:APSb,Lehmer:1950:APS,Sandham:1950:APSb,Wall:1950:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Lehmer:1948:CK,
author = "D. H. Lehmer",
title = "A conjecture of {Krishnaswami}",
journal = j-BULL-AMS,
volume = "54",
pages = "1185--1190",
year = "1948",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1948-09147-9",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "10.0X",
MRnumber = "28333",
MRreviewer = "W. H. Simons",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1948:PNS,
author = "D. H. Lehmer",
title = "On the Partition of Numbers into Squares",
journal = j-AMER-MATH-MONTHLY,
volume = "55",
number = "8",
pages = "476--481",
month = oct,
year = "1948",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2305380",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "26661",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Courter:1949:PQ,
author = "G. W. Courter and W. R. Talbot and G. B. Knight and C.
N. Mills and D. H. Lehmer and Leo Moser and Norman
Anning and Victor Thebault and O. J. Ramler and Pedro
A. Piza and Raymond L. Krueger",
title = "Problems and Questions",
journal = j-MATH-MAG,
volume = "23",
number = "1",
pages = "33--37",
year = "1949",
CODEN = "MAMGA8",
ISSN = "0025-570X",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/3219263",
acknowledgement = ack-nhfb,
fjournal = "Mathematics Magazine",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
}
@Article{Lehmer:1949:BRE,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Eleven and fifteen-place
tables of Bessel functions of the first kind, to all
significant orders}} by Enzo Cambi, New York. Dover
Publications, 1948. vi + 154 p. \$3.95}",
journal = j-QUART-APPL-MATH,
volume = "7",
number = "2",
pages = "238--239",
month = jul,
year = "1949",
CODEN = "QAMAAY",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/43633371",
acknowledgement = ack-nhfb,
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
reviewed-author = "Enzo Cambi",
}
@Article{Lehmer:1949:CFT,
author = "D. H. Lehmer",
title = "On the converse of {Fermat's Theorem}. {II}",
journal = j-AMER-MATH-MONTHLY,
volume = "56",
number = "5",
pages = "300--309",
month = may,
year = "1949",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2306041",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "29925",
MRreviewer = "N. G. W. H. Beeger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1950:AAD,
author = "D. H. Lehmer",
title = "Approximations to the area of an $n$-dimensional
ellipsoid",
journal = j-CAN-J-MATH,
volume = "2",
number = "??",
pages = "267--282",
month = "????",
year = "1950",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/cjm-1950-024-2",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "48.0X",
MRnumber = "36013; 0036013 (12,45g)",
MRreviewer = "P. Franklin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://cms.math.ca/cjm/v2/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath1950.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1950:APS,
author = "Emma Lehmer and Martin Kneser",
title = "Advanced Problems and Solutions: 4307",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "269--269",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@InProceedings{Lehmer:1951:MML,
author = "D. H. Lehmer",
booktitle = "{Proceedings of a Second Symposium on Large-Scale
Digital Calculating Machinery, 1949}",
title = "Mathematical methods in large-scale computing units",
crossref = "Anonymous:1951:PSS",
pages = "141--146",
year = "1951",
MRclass = "65.0X",
MRnumber = "0044899 (13,495f)",
MRreviewer = "R. Hamming",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://archive.org/stream/proceedings_of_a_second_symposium_on_large-scale_/Proceedings_of_a_Second_Symposium_on_Large-Scale_Digital_Calculating_Machinery_Sep49_djvu.txt",
abstract = "The aim of this paper is to discuss in a general way
certain features of the mathematics that are
characteristic of the large scale digital computing
machines. Special attention is given to the problem of
generating random numbers. The author's proposal for
generating a sequence of ``random'' 8 decimal numbers $
u_n $ is to start with some number $ u_0 \neq 0 $,
multiply it by 23, and subtract the two digit overflow
on the left from the two right hand digits to obtain a
new number $ u_1 $. By repeating this process he
generates a sequence $ u_n $ which he shows has a
repetition period of 5,882,352. An IBM 602A was used to
generate 5000 numbers of such a sequence. Four standard
tests (unspecified) were applied to check the
``randomness'' and the sequence passed all four. The
author observes, however, that all of the members of
the sequence he chose were divisible by 17.",
acknowledgement = ack-nhfb,
HDnumber = "67",
xxauthor = "D. H. (Derrick Henry) Lehmer",
}
@Article{Lehmer:1951:RFR,
author = "D. H. Lehmer",
title = "{Ramanujan}'s function with respect to the modulus {$
49 $}",
journal = "Proc. Nat. Inst. Sci. India",
volume = "17",
pages = "67--70",
year = "1951",
ISSN = "0370-0860",
MRclass = "10.0X",
MRnumber = "43127",
MRreviewer = "L. Schoenfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the National Institute of Sciences of
India",
}
@Article{Lehmer:1951:TNF,
author = "D. H. Lehmer",
title = "A triangular number formula for the partition
function",
journal = "Scripta Math.",
volume = "17",
pages = "17--19",
year = "1951",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "41869",
MRreviewer = "N. J. Fine",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
}
@Article{Lehmer:1953:RDS,
author = "Emma Lehmer",
title = "On residue difference sets",
journal = j-CAN-J-MATH,
volume = "5",
number = "??",
pages = "425--432",
month = "????",
year = "1953",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1953-047-3",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "10.0X",
MRnumber = "0056007 (15,10d)",
MRreviewer = "H. B. Mann",
bibdate = "Sat Sep 10 15:38:26 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v5/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath1950.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1953:SPA,
author = "D. H. Lehmer",
title = "The sieve problem for all-purpose computers",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
pages = "6--14",
year = "1953",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "65.0X",
MRnumber = "52876",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1953:TNM,
author = "D. H. Lehmer",
title = "Two New {Mersenne} Primes",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "7",
number = "41",
pages = "72--72",
month = jan,
year = "1953",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.1090/S0025-5718-53-99371-5",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Thu Feb 08 16:52:44 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "This 7-line note reports the discovery of Mersenne
primes of the form $ 2^n - 1 $ for $ n = 2203 $ and $ n
= 2281 $ on the SWAC computer on 7 and 9 October 1952.
It finishes with ``This makes 17 Mersenne primes, and a
corresponding number of perfect numbers, now known.
They are $ 2^n 1 $ for $ n = 2, 3, 5, 7, 13, 17, 19,
31, 61, 107, 127, 521, 607, 1279, 2203 $, and $ 2281
$.''",
}
@Article{Lehmer:1954:AHS,
author = "D. H. Lehmer and Emma Lehmer and H. S. Vandiver",
title = "An application of high-speed computing to {Fermat's
Last Theorem}",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "40",
pages = "25--33",
year = "1954",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.40.1.25",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "10.0X",
MRnumber = "61128",
MRreviewer = "R. Bellman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/content/by/year",
}
@Article{Lehmer:1954:CNO,
author = "Emma Lehmer",
title = "On the cyclotomic numbers of order sixteen",
journal = j-CAN-J-MATH,
volume = "6",
number = "??",
pages = "449--454",
month = "????",
year = "1954",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1954-046-1",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:26 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v6/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath1950.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1954:DRN,
author = "D. H. Lehmer",
title = "Description of ``Random number generation on the {BRL}
high-speed computing machines''",
journal = j-MATH-REV,
volume = "15",
number = "??",
pages = "559--559",
month = "????",
year = "1954",
CODEN = "MAREAR",
ISSN = "0025-5629",
bibdate = "Mon Jan 23 18:01:23 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Reviews",
}
@Article{Lehmer:1954:SPP,
author = "D. H. Lehmer",
title = "A sieve problem on``pseudo-squares.''",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "8",
pages = "241--242",
year = "1954",
CODEN = "MTTCAS",
ISSN = "0891-6837",
MRclass = "10.0X",
MRnumber = "63388",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Carlitz:1955:APSb,
author = "Leonard Carlitz and Emma Lehmer",
title = "Advanced Problems and Solutions: Solutions: 4599",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "665--665",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Golomb:1955:APS,
author = "S. W. Golomb and D. H. and Emma Lehmer",
title = "Advanced Problems and Solutions: 4593",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "8",
pages = "590--591",
month = oct,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:59 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1955:APS,
author = "Emma Lehmer",
title = "Advanced Problems and Solutions: Problems for
Solution: 4636",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "4",
pages = "258--259",
month = apr,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:50 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Babbitt:1956:APS,Briggs:1956:APS,Lehmer:1956:APS,Wang:1956:APS,Weissblum:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Lehmer:1955:DT,
author = "D. H. Lehmer",
title = "The distribution of totatives",
journal = j-CAN-J-MATH,
volume = "7",
number = "??",
pages = "347--357",
month = "????",
year = "1955",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1955-038-5",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "10.0X",
MRnumber = "69199",
MRreviewer = "N. G. de Bruijn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://cms.math.ca/cjm/v7/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath1950.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1956:APS,
author = "Emma Lehmer and Leonard Carlitz",
title = "Advanced Problems and Solutions: 4636",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "8",
pages = "584--587",
month = oct,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:22 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1956:CCM,
author = "D. H. Lehmer",
title = "On certain character matrices",
journal = j-PAC-J-MATH,
volume = "6",
pages = "491--499",
year = "1956",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "15.0X",
MRnumber = "85220",
MRreviewer = "W. Ledermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103043966",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Lehmer:1956:DE,
author = "D. H. Lehmer",
title = "On the {Diophantine} equation $ x^3 + y^3 + z^3 = 1
$",
journal = j-J-LOND-MATH-SOC,
volume = "31",
pages = "275--280",
year = "1956",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-31.3.275",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "10.1X",
MRnumber = "78397",
MRreviewer = "N. G. de Bruijn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "The Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1956:ECR,
author = "D. H. Lehmer",
title = "Extended computation of the {Riemann} zeta-function",
journal = j-MATHEMATIKA,
volume = "3",
pages = "102--108",
year = "1956",
CODEN = "MTKAAB",
DOI = "https://doi.org/10.1112/S0025579300001753",
ISSN = "0025-5793",
MRclass = "10.1X",
MRnumber = "86083",
MRreviewer = "L. Schoenfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematika. A Journal of Pure and Applied
Mathematics",
journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues",
}
@Article{Lehmer:1956:LGS,
author = "Emma Lehmer",
title = "On the Location of {Gauss} Sums",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "10",
number = "56",
pages = "194--202",
month = oct,
year = "1956",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1956:RRZ,
author = "D. H. Lehmer",
title = "On the roots of the {Riemann} zeta-function",
journal = j-ACTA-MATH,
volume = "95",
number = "1",
pages = "291--298",
month = dec,
year = "1956",
CODEN = "ACMAA8",
DOI = "https://doi.org/10.1007/BF02401102",
ISSN = "0001-5962 (print), 1871-2509 (electronic)",
ISSN-L = "0001-5962",
MRclass = "10.1X",
MRnumber = "86082; 0086082 (19,121a)",
MRreviewer = "L. Schoenfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica",
journal-URL = "http://link.springer.com/journal/11511",
remark-1 = "See \cite[references 38--39, page
54]{Bullynck:2015:CPT} for Turing's role in this work,
published two years after Turing's death in 1954.
Turing's incomplete work appears in
\cite{Turing:1953:SCR}.",
remark-2 = "From page 293: ``Plans to extend the work of
Titchmarsh [on the zeros of the Riemann zeta function]
by use of a differential analyzer were made in 1939 by
the late A. M. Turing. These were interrupted by the
war and later rendered obsolete by the advent of the
electronic digital computers.''",
remark-3 = "From page 293: ``In 1947 the writer programmed an
extension of the work of Titchmarsh [on the zeros of
the Riemann zeta function] for the ENIAC, the only
electronic computer then in operation. However, before
the program could be run, the ENIAC was drastically
modified thus rendering it useless for the problem.''",
remark-4 = "From page 293: ``In June 1950, Turing used the
Manchester University Mark 1 electronic digital
computer to examine the zeta-function for $24,937.96 <
t < 25,735.93$ (that is for $63 < \sqrt{\tau} < 6.4$)
and found in this region of the critical strip that
there are about 1070 simple zeros all with $a = 1/2$.
In another short run the validity of the Riemann
Hypothesis was verified between Titchmarsh's upper
limit of $t = 1468$ and $t = 1540$. Only some twenty
hours of machine time was used. Unfortunately no
further time was made available and these incomplete
results were published in 1953.''",
}
@Article{Lehmer:1957:APS,
author = "D. H. Lehmer and D. C. Russell",
title = "Advanced Problems and Solutions: 4675",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "122--123",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1957:CNL,
author = "D. H. Lehmer",
title = "Classroom Notes: {A} Low Energy Proof of the
Reciprocity Law",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "103--106",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1957:CNS,
author = "Emma Lehmer and H. S. Vandiver",
title = "On the Computation of the Number of Solutions of
Certain Trinomial Congruences",
journal = j-J-ACM,
volume = "4",
number = "4",
pages = "505--510",
month = oct,
year = "1957",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:10:03 1994",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Lehmer:1957:LEP,
author = "D. H. Lehmer",
title = "A low energy proof of the reciprocity law",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
pages = "103--106",
year = "1957",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2310391",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.0X",
MRnumber = "82992",
MRreviewer = "I. A. Barnett",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1957:SCR,
author = "D. H. Lehmer",
title = "Sorting Cards with Respect to a Modulus",
journal = j-J-ACM,
volume = "4",
number = "1",
pages = "41--46",
month = jan,
year = "1957",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 19:59:49 1994",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@InProceedings{Lehmer:1959:CPD,
author = "D. H. Lehmer",
title = "Combinatorial problems with digital computers",
crossref = "Macphail:1959:PFC",
pages = "160--173",
year = "1959",
bibdate = "Mon Jun 27 15:08:42 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
HDnumber = "68",
}
@Article{Lehmer:1959:ENP,
author = "D. H. Lehmer",
title = "On the exact number of primes less than a given
limit",
journal = j-ILL-J-MATH,
volume = "3",
pages = "381--388",
year = "1959",
CODEN = "IJMTAW",
ISSN = "0019-2082 (print), 1945-6581 (electronic)",
ISSN-L = "0019-2082",
MRclass = "10.00",
MRnumber = "106883",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.ijm/1255455259",
acknowledgement = ack-nhfb,
fjournal = "Illinois Journal of Mathematics",
}
@Article{Lehmer:1959:MM,
author = "D. H. Lehmer",
title = "{Mahler}'s matrices",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "1",
pages = "385--395",
year = "1959/1960",
CODEN = "JAUMAX",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
MRclass = "10.05",
MRnumber = "0124259",
MRreviewer = "O. Taussky-Todd",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics",
}
@Article{Lehmer:1959:PHL,
author = "D. H. Lehmer",
title = "On a problem of {Hardy} and {Littlewood}",
journal = j-J-LOND-MATH-SOC,
volume = "34",
pages = "395--396; 485",
year = "1959",
CODEN = "JLMSAK",
DOI = "https://doi.org/10.1112/jlms/s1-34.4.395",
ISSN = "0024-6107 (print), 1469-7750 (electronic)",
ISSN-L = "0024-6107",
MRclass = "42.00",
MRnumber = "111985",
MRreviewer = "K. Chandrasekharan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "The Journal of the London Mathematical Society",
journal-URL = "http://jlms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1959:SFR,
author = "D. H. Lehmer",
title = "Some functions of {Ramanujan}",
journal = j-MATH-STUDENT,
volume = "27",
pages = "105--116",
year = "1959",
CODEN = "MTHSBH",
ISSN = "0025-5742",
MRclass = "10.43",
MRnumber = "131412",
MRreviewer = "S. Chowla",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Student",
}
@Article{Lehmer:1960:CKS,
author = "D. H. Lehmer and Emma Lehmer",
title = "On the cubes of {Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "6",
pages = "15--22",
year = "1960",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-6-1-15-22",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.00",
MRnumber = "115976",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1960:DVM,
author = "D. H. Lehmer",
booktitle = "{Proc. Internat. Congress Math. 1958}",
title = "Discrete variable methods in numerical analysis",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "545--552",
year = "1960",
MRclass = "65.00 (42.00)",
MRnumber = "0116451",
MRreviewer = "C. B. Haselgrove",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1960:MM,
author = "D. H. Lehmer",
title = "{Mahler}'s Matrices",
journal = j-J-AUSTRALIAN-MATH-SOC,
volume = "1",
pages = "385--395",
year = "1960",
CODEN = "JAUMAX",
ISSN = "0004-9735 (print), 2059-9234 (electronic)",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Australian Mathematical Society",
}
@Article{Lehmer:1960:PCM,
author = "D. H. Lehmer",
title = "Power character matrices",
journal = j-PAC-J-MATH,
volume = "10",
pages = "895--907",
year = "1960",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "10.00",
MRnumber = "113853",
MRreviewer = "L. Carlitz",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103038238",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Lehmer:1960:SIF,
author = "D. H. Lehmer and S. Selberg",
title = "A sum involving the function of {M{\"o}bius}",
journal = j-ACTA-ARITHMETICA,
volume = "6",
pages = "111--114",
year = "1960",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-6-1-111-114",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.00",
MRnumber = "115965",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1960:TCT,
author = "D. H. Lehmer",
booktitle = "{Proc. Sympos. Appl. Math., Vol. 10}",
title = "Teaching combinatorial tricks to a computer",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "179--193",
year = "1960",
MRclass = "68.00",
MRnumber = "0113289",
MRreviewer = "A. D. Booth",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1961:BRF,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{The First Six Million Prime
Numbers}} by C. L. Baker and F. J. Gruenberger}",
journal = j-MATH-COMPUT,
volume = "15",
number = "73",
pages = "82--82",
year = "1961",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003096",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2003096",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "C. L. Baker and F. J. Gruenberger",
}
@Book{Lehmer:1961:GTT,
author = "Derrick Henry Lehmer",
title = "Guide to tables in the theory of numbers",
publisher = "National Research Council",
address = "Washington, DC, USA",
pages = "xiv + 177",
year = "1961",
MRclass = "10.02",
MRnumber = "0141626",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Bulletin of the National Research Council, No. 105",
acknowledgement = ack-nhfb,
remark = "Reprinted 1961.",
}
@Article{Lehmer:1961:MMS,
author = "D. H. Lehmer",
title = "A Machine Method for Solving Polynomial Equations",
journal = j-J-ACM,
volume = "8",
number = "2",
pages = "151--162",
month = apr,
year = "1961",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Mon Dec 05 20:05:26 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "Lehmer's method; nlop; polynomial",
}
@InCollection{Lehmer:1962:HA,
author = "D. H. Lehmer and Emma Lehmer",
booktitle = "Studies in mathematical analysis and related topics",
title = "Heuristics, anyone?",
publisher = pub-STANFORD,
address = pub-STANFORD:adr,
pages = "202--210",
year = "1962",
MRclass = "10.08",
MRnumber = "0144868",
MRreviewer = "T. Estermann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1962:MPT,
author = "D. H. Lehmer and E. Lehmer and W. H. Mills and J. L.
Selfridge",
title = "Machine Proof of a Theorem on Cubic Residues",
journal = j-MATH-COMPUT,
volume = "16",
number = "80",
pages = "407--415",
month = oct,
year = "1962",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003130",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.06 (68.00)",
MRnumber = "162379",
MRreviewer = "S. Kuroda",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1962:RR,
author = "D. H. Lehmer and Emma Lehmer",
title = "On runs of residues",
journal = j-PROC-AM-MATH-SOC,
volume = "13",
pages = "102--106",
year = "1962",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2033781",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "10.06",
MRnumber = "138582",
MRreviewer = "M. Cugiani",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
}
@Article{Barrucand:1963:APS,
author = "P. Barrucand and Emma Lehmer",
title = "Advanced Problems and Solutions: Solutions: 5042",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "770--771",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1963:CRS,
author = "D. H. Lehmer",
title = "The Complete Root-Squaring Method",
journal = j-J-SIAM,
volume = "11",
number = "3",
pages = "705--717",
month = sep,
year = "1963",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
MRclass = "65.50",
MRnumber = "157481",
MRreviewer = "W. J. Kotz\'{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Lehmer:1963:NPR,
author = "D. H. Lehmer",
title = "A note on primitive roots",
journal = "Scripta Math.",
volume = "26",
pages = "117--119",
year = "1963",
ISSN = "0036-9713",
MRclass = "10.09",
MRnumber = "149643",
MRreviewer = "L. Carlitz",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
}
@Article{Lehmer:1963:PCP,
author = "D. H. Lehmer and Emma Lehmer and W. H. Mills",
title = "Pairs of consecutive power residues",
journal = j-CAN-J-MATH,
volume = "15",
number = "??",
pages = "172--177",
month = "????",
year = "1963",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1963-020-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "10.06",
MRnumber = "146134",
MRreviewer = "H. Klingen",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://cms.math.ca/cjm/v15/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath1960.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Lehmer:1963:RDO,
author = "D. H. Lehmer",
title = "{R63--17} Division and Overflow Detection in Residue
Number Systems",
journal = j-IEEE-TRANS-ELEC-COMPUT,
volume = "EC-12",
number = "1",
pages = "36--37",
month = feb,
year = "1963",
CODEN = "IEECA8",
DOI = "https://doi.org/10.1109/PGEC.1963.263493",
ISSN = "0367-7508",
bibdate = "Thu Jul 14 08:10:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037786;
http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753;
http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4037754",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Electronic Computers",
keywords = "residue arithmetic; residue number system",
}
@InProceedings{Lehmer:1963:SHS,
author = "D. H. Lehmer",
booktitle = "{Proc. Sympos. Appl. Math., Vol. XV}",
title = "Some high-speed logic",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "141--145",
year = "1963",
MRclass = "10.03",
MRnumber = "0158509",
MRreviewer = "W. R. Utz",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Brillhart:1964:BPC,
author = "John Brillhart and D. H. Lehmer and Emma Lehmer",
title = "Bounds for Pairs of Consecutive Seventh and Higher
Power Residues",
journal = j-MATH-COMPUT,
volume = "18",
number = "87",
pages = "397--407",
month = jul,
year = "1964",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003762",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.06 (10.03)",
MRnumber = "164923",
MRreviewer = "W. H. Mills",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1964:IFP,
author = "E. Lehmer",
title = "On the Infinitude of {Fibonacci} Pseudo-Primes",
journal = j-FIB-QUART,
volume = "2",
number = "3",
pages = "229--??",
month = oct,
year = "1964",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:00:07 MDT 2011",
bibsource = "http://www.fq.math.ca/2-3.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/2-3/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1964:PS,
author = "D. H. Lehmer",
title = "On a problem of {St{\"o}rmer}",
journal = j-ILL-J-MATH,
volume = "8",
pages = "57--79",
year = "1964",
CODEN = "IJMTAW",
ISSN = "0019-2082 (print), 1945-6581 (electronic)",
ISSN-L = "0019-2082",
MRclass = "10.08",
MRnumber = "158849",
MRreviewer = "L. Mirsky",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.ijm/1256067456",
acknowledgement = ack-nhfb,
fjournal = "Illinois Journal of Mathematics",
}
@Article{Lehmer:1965:CCP,
author = "D. H. Lehmer",
title = "On certain chains of primes",
journal = j-PROC-LONDON-MATH-SOC-3,
volume = "14a",
pages = "183--186",
year = "1965",
CODEN = "PLMTAL",
DOI = "https://doi.org/10.1112/plms/s3-14A.1.183",
ISSN = "0024-6115 (print), 1460-244x (electronic)",
ISSN-L = "0024-6115",
MRclass = "10.47",
MRnumber = "177964",
MRreviewer = "L. K. Durst",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the London Mathematical Society. Third
Series",
journal-URL = "http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/",
}
@Article{Lehmer:1965:PAI,
author = "D. H. Lehmer",
title = "Permutation by Adjacent Interchanges",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2, part II",
pages = "36--46",
month = feb,
year = "1965",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2313309",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05.04",
MRnumber = "172816",
MRreviewer = "S. W. Golomb",
bibdate = "Mon Jun 28 12:37:46 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Part 2: Computers and Computing.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1965:PFC,
author = "D. H. Lehmer",
title = "The Prime Factors of Consecutive Integers",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2, part II",
pages = "19--20",
month = feb,
year = "1965",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2313306",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.08",
MRnumber = "171739",
MRreviewer = "W. R. Utz",
bibdate = "Mon Jun 28 12:37:46 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Part 2: Computers and Computing.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1965:PRT,
author = "D. H. Lehmer",
title = "The Primality of {Ramanujan}'s Tau-Function",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2, part II",
pages = "15--18",
month = feb,
year = "1965",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2313305",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10.03 (10.41)",
MRnumber = "172855",
MRreviewer = "Harvey Cohn",
bibdate = "Mon Jun 28 12:37:46 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Part 2: Computers and Computing.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1966:CKS,
author = "D. H. Lehmer and Emma Lehmer",
title = "The cyclotomy of {Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "12",
pages = "385--407",
year = "1966/67",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-12-4-385-407",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.66",
MRnumber = "214564",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1966:CTN,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the IBM Scientific Computing
Symposiums on Combinatorial Problems (Yorktown Heights,
NY, 1964)}",
title = "Combinatorial types in number-theory calculations",
publisher = "IBM Data Processing Division",
address = "White Plains, NY, USA",
pages = "23--30",
year = "1966",
MRclass = "05.10 (10.00)",
MRnumber = "0214490",
MRreviewer = "J. Riordan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1966:MM,
author = "D. H. Lehmer",
title = "Mechanized mathematics",
journal = j-BULL-AMS,
volume = "72",
number = "5",
pages = "739--750",
year = "1966",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1966-11553-7",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "DML",
MRnumber = "1566405",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Lehmer:1966:QCF,
author = "E. Lehmer",
title = "On the Quadratic Character of the {Fibonacci} Root",
journal = j-FIB-QUART,
volume = "4",
number = "2",
pages = "135--138",
month = apr,
year = "1966",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:24 MDT 2011",
bibsource = "http://www.fq.math.ca/4-2.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/4-2/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1966:SPC,
author = "D. H. Lehmer",
title = "Some properties of the cyclotomic polynomial",
journal = j-J-MATH-ANAL-APPL,
volume = "15",
pages = "105--117",
year = "1966",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(66)90144-2",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "10.79",
MRnumber = "197441",
MRreviewer = "D. J. Lewis",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.sciencedirect.com/science/article/pii/0022247X66901442",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
}
@Article{Lehmer:1967:CHK,
author = "D. H. Lehmer and Emma Lehmer",
title = "The cyclotomy of hyper-{Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "14",
pages = "89--111",
year = "1967/1968",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-14-1-89-111",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10.41",
MRnumber = "0224572",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InCollection{Lehmer:1968:MPM,
author = "D. H. Lehmer",
booktitle = "Computers in Mathematical Research",
title = "Machines and pure mathematics",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "1--7",
year = "1968",
MRclass = "68.00",
MRnumber = "0234661",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1969:BRR,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Random number generators}}
by Birger Jansson}",
journal = j-QUART-APPL-MATH,
volume = "27",
number = "3",
pages = "421--421",
year = "1969",
CODEN = "QAMAAY",
DOI = "https://doi.org/10.2307/43636000",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.jstor.org/stable/43636000",
acknowledgement = ack-nhfb,
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641;
http://www.ams.org/journals/qam",
reviewed-author = "Birger Jansson",
}
@InCollection{Lehmer:1969:CTA,
author = "D. H. Lehmer",
booktitle = "Studies in Number Theory",
title = "Computer technology applied to the theory of numbers",
publisher = pub-MAA,
address = pub-MAA:adr,
pages = "117--151",
year = "1969",
MRclass = "10.03",
MRnumber = "0246815",
MRreviewer = "P. Barrucand",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Lehmer:1969:SPP,
author = "D. H. Lehmer",
booktitle = "Constructive Aspects of the {Fundamental Theorem of
Algebra (Proc. Sympos., Z{\"u}rich--R{\"u}schlikon,
1967)}",
title = "Search procedures for polynomial equation solving",
publisher = pub-WI,
address = pub-WI:adr,
pages = "193--208",
year = "1969",
MRclass = "65.50",
MRnumber = "0267750",
MRreviewer = "W. M. Kincaid",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1970:CCM,
author = "D. H. Lehmer",
title = "On the compounding of certain means",
journal = j-NAMS,
volume = "17",
number = "??",
pages = "634--635",
month = "????",
year = "1970",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Tue Mar 14 19:09:32 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
remark = "Check title: not found in MathSciNet or zbMATH
databases, or in Web searches, but cited in \cite[ref.
17]{Carlson:1971:AIA}.",
}
@Article{Lehmer:1970:ISH,
author = "D. H. Lehmer and Emma Lehmer and Daniel Shanks",
title = "Integer Sequence having Prescribed Quadratic
Character",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "433--451",
month = apr,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004491",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.03",
MRnumber = "271006",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1970:NDR,
author = "D. H. Lehmer",
title = "Note on the Distribution of {Ramanujan}'s Tau
Function",
journal = j-MATH-COMPUT,
volume = "24",
number = "111",
pages = "741--743",
month = jul,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004851",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10.41",
MRnumber = "274401",
MRreviewer = "K. Thanigasalam",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InProceedings{Lehmer:1970:PSR,
author = "D. H. Lehmer",
booktitle = "Combinatorial theory and its applications, {II}
({Proc. Colloq., Balatonf{\"u}red, 1969})",
title = "Permutations with strongly restricted displacements",
publisher = "????",
address = "????",
pages = "755--770",
year = "1970",
MRclass = "05A10",
MRnumber = "0316260",
MRreviewer = "N. S. Mendelsohn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Brillhart:1971:C,
author = "John Brillhart and Emma Lehmer",
title = "Challenge",
journal = j-FIB-QUART,
volume = "9",
number = "5",
pages = "525--??",
month = dec,
year = "1971",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:41 MDT 2011",
bibsource = "http://www.fq.math.ca/9-5.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/9-5/challenge.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1971:CCM,
author = "D. H. Lehmer",
title = "On the compounding of certain means",
journal = j-J-MATH-ANAL-APPL,
volume = "36",
number = "1",
pages = "183--200",
month = oct,
year = "1971",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(71)90029-1",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "10.43",
MRnumber = "281696",
MRreviewer = "D. Rearick",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/agm.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "https://www.sciencedirect.com/science/article/pii/0022247X71900291",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
keywords = "arithmetic--geometric mean (AGM) iteration; complete
elliptic integrals of the first and second kinds.
Landen s transformation",
}
@InProceedings{Lehmer:1971:EEM,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Twenty-Fifth Summer Meeting of the
Canadian Mathematical Congress (Lakehead Univ., Thunder
Bay, Ont., 1971)}",
title = "Effective enumeration methods for highly restricted
permutations",
publisher = "????",
address = "????",
pages = "103--116",
year = "1971",
MRclass = "05A15",
MRnumber = "0340041",
MRreviewer = "S. G. Williamson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Lehmer:1971:SRS,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Manitoba Conference on Numerical
Mathematics (Univ. Manitoba, Winnipeg, Man., 1971)}",
title = "Some recursive sequences",
publisher = "????",
address = "????",
pages = "15--30",
year = "1971",
MRclass = "10A35",
MRnumber = "0335426",
MRreviewer = "Jean-Pierre Duport",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1971:TECa,
author = "D. H. Lehmer",
title = "Table errata: {``On the converse of Fermat's theorem''
(Amer. Math. Monthly {\bf 43} (1936), 347--354)}",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "943",
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (10A25)",
MRnumber = "400629",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197110)25:116<943:TE>2.0.CO;2-9&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1971:TECb,
author = "D. H. Lehmer",
title = "Table errata: {``On the converse of Fermat's theorem.
II'' (Amer. Math. Monthly {\bf 56} (1949), 300--309)}",
journal = j-MATH-COMPUT,
volume = "25",
number = "116",
pages = "943--944",
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (10A25)",
MRnumber = "400630",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197110)25:116<943:TE>2.0.CO;2-9&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1972:BRA,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{The Art of Computer
Programming, Vol. 2: Seminumerical Algorithms}} by D.
E. Knuth}",
journal = j-AM-SCI,
volume = "60",
number = "5",
pages = "642--642",
year = "1972",
CODEN = "AMSCAC",
DOI = "https://doi.org/10.2307/27843439",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/27843439",
acknowledgement = ack-nhfb,
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
reviewed-author = "D. E. Knuth",
}
@Article{Lehmer:1972:RWP,
author = "D. H. Lehmer",
title = "On reciprocally weighted partitions",
journal = j-ACTA-ARITHMETICA,
volume = "21",
pages = "379--388",
year = "1972",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-21-1-379-388",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10A45",
MRnumber = "304302",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1972:SSA,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the 1972 Number Theory Conference
(Univ. Colorado, Boulder, Colo.)}",
title = "Some structural aspects of the partitions of an
integer",
publisher = "????",
address = "????",
pages = "122--127",
year = "1972",
MRclass = "10A45 (10J20)",
MRnumber = "0401635",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1973:CCQ,
author = "Emma Lehmer",
title = "On the cubic character of quadratic units",
journal = j-J-NUMBER-THEORY,
volume = "5",
number = "5",
pages = "385--389",
month = oct,
year = "1973",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(73)90039-5",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:24 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900395",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lehmer:1973:CFC,
author = "D. H. Lehmer",
title = "Continued fractions containing arithmetic
progressions",
journal = "Scripta Math.",
volume = "29",
pages = "17--24",
year = "1973",
ISSN = "0036-9713",
MRclass = "10A30 (33A40)",
MRnumber = "327637",
MRreviewer = "L. C. Eggan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
}
@InProceedings{Lehmer:1973:CMP,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Second Manitoba Conference on
Numerical Mathematics (Univ. Manitoba, Winnipeg, Man.,
1972)}",
title = "Calculating moments of partitions",
publisher = "????",
address = "????",
pages = "217--220. Congressus Numerantium, No. VII",
year = "1973",
MRclass = "10J20",
MRnumber = "0360494",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1973:EQF,
author = "D. H. Lehmer",
title = "The economics of quadratic form calculations",
journal = j-J-NUMBER-THEORY,
volume = "5",
number = "6",
pages = "544--545",
month = dec,
year = "1973",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(73)90026-7",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:24 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900267",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lehmer:1973:MMS,
author = "D. H. Lehmer",
title = "Multisectioned moments of {Stirling} numbers of the
second kind",
journal = j-J-COMB-THEORY-A,
volume = "15",
pages = "210--224",
year = "1973",
CODEN = "JCBTA7",
DOI = "https://doi.org/10.1016/s0097-3165(73)80008-1",
ISSN = "0097-3165 (print), 1096-0899 (electronic)",
ISSN-L = "0097-3165",
MRclass = "05A10",
MRnumber = "325401",
MRreviewer = "H. W. Gould",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.sciencedirect.com/science/article/pii/S0097316573800081",
abstract = "The Stirling number of the second kind, $ S(n, k) $,
enumerates the ways that $n$ distinct objects can be
stored in $k$ non-empty indistinguishable boxes. When
$k$ is restricted to a given residue class modulo $ \mu
$, the moments of the distribution $ S(n, k)$ have
properties associated with the Olivier functions of
order $ \mu $ evaluated at $1$ and $ - 1$. The simplest
example is Dobinski's formula for the Bell number $ B_n
= \sum_{k = 0}^n S(n, k) = e^{-1} \sum_{\lambda =
0}^\infty \lambda^n / \lambda !$. The treatment is
based on combinatorial arguments and umbral calculus.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Combinatorial Theory. Series A",
journal-URL = "http://www.sciencedirect.com/science/journal/00973165",
}
@Article{Lehmer:1973:SPC,
author = "D. H. Lehmer",
title = "Some properties of circulants",
journal = j-J-NUMBER-THEORY,
volume = "5",
number = "1",
pages = "43--54",
month = feb,
year = "1973",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(73)90056-5",
ISSN = "0022-314x (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
MRclass = "05B20 (15A15)",
MRnumber = "316272",
MRreviewer = "Stephen Tanny",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X73900565",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@InProceedings{Guy:1974:SRA,
author = "Richard K. Guy and D. H. Lehmer and J. L. Selfridge
and M. C. Wunderlich",
booktitle = "{Proceedings of the Third Manitoba Conference on
Numerical Mathematics (Winnipeg, Man., 1973)}",
title = "Second report on aliquot sequences",
publisher = "????",
address = "????",
pages = "357--368",
year = "1974",
MRclass = "10-04 (10A40)",
MRnumber = "0351967",
MRreviewer = "S. A. Burr",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Lehmer:1974:CCP,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Fifth Southeastern Conference on
Combinatorics, Graph Theory, and Computing (Florida
Atlantic Univ., Boca Raton, Fla., 1974)}",
title = "Combinatorial and cyclotomic properties of certain
tridiagonal matrices",
publisher = "????",
address = "????",
pages = "53--74. Congressus Numerantium, No. X",
year = "1974",
MRclass = "10A45",
MRnumber = "0441852",
MRreviewer = "George E. Andrews",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1974:HSV,
author = "D. H. Lehmer",
title = "{Harry Schultz Vandiver}, 1882--1973",
journal = j-BULL-AMS,
volume = "80",
pages = "817--818",
year = "1974",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1974-13523-8",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "01A70 (10-03)",
MRnumber = "342346",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@InProceedings{Lehmer:1974:ICR,
author = "D. H. Lehmer",
booktitle = "The influence of computing on mathematical research
and education {(Proc. Sympos. Appl. Math., Vol. 20,
Univ. Montana, Missoula, Mont., 1973)}",
title = "The influence of computing on research in number
theory",
publisher = "????",
address = "????",
pages = "3--12",
year = "1974",
MRclass = "10-04",
MRnumber = "0364061",
MRreviewer = "P. J. Weinberger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1974:NFT,
author = "D. H. Lehmer and Emma Lehmer",
title = "A New Factorization Technique Using Quadratic Forms",
journal = j-MATH-COMPUT,
volume = "28",
number = "126",
pages = "625--635",
month = apr,
year = "1974",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005939",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25 (10-04 10B05)",
MRnumber = "342458",
MRreviewer = "Harvey Cohn",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Univ. California, Berkeley, CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "aliquot series; combinatorial mathematics;
factorization technique; inequalities; number theory;
quadratic forms; sieving facilities",
treatment = "T Theoretical or Mathematical",
}
@Article{Brillhart:1975:NPC,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge",
title = "New primality criteria and factorizations of {$ 2^m
\pm 1 $}",
journal = j-MATH-COMPUT,
volume = "29",
number = "130",
pages = "620--647",
month = apr,
year = "1975",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005583",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25",
MRnumber = "384673",
MRreviewer = "Jean-Marie De Koninck",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/cryptography.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. Math., Univ. Arizona, Tucson, AZ, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "divisibility properties; factorizations; Fermat's
theorem; hyperbola; Lucas sequences; Mersenne numbers;
number theory; primality criteria; search bound",
referencedin = "Referenced in \cite[Ref. 2]{Silverman:1997:FGR}.",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1975:ECA,
author = "D. H. Lehmer",
title = "{Euler} constants for arithmetical progressions",
journal = j-ACTA-ARITHMETICA,
volume = "27",
pages = "125--142",
year = "1975",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-27-1-125-142",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "10A20",
MRnumber = "369233",
MRreviewer = "Karl-Heinz Indlekofer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Lehmer:1975:FRS,
author = "D. H. Lehmer",
title = "{Fibonacci} and Related Sequences in Periodic
Tridiagonal Matrices",
journal = j-FIB-QUART,
volume = "13",
number = "2",
pages = "150--158",
month = apr,
year = "1975",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10M20 (10A35)",
MRnumber = "374080",
MRreviewer = "Calvin T. Long",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.fq.math.ca/13-2.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/13-2/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Graham:1976:PSM,
author = "R. L. Graham and D. H. Lehmer",
title = "On the permanent of {Schur}'s matrix",
journal = j-J-AUSTRAL-MATH-SOC-SER-A,
volume = "21",
number = "4",
pages = "487--497",
year = "1976",
CODEN = "JAMADS",
DOI = "https://doi.org/10.1017/s1446788700019339",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
MRclass = "15A15",
MRnumber = "417210",
MRreviewer = "H. Ratschek",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics",
}
@Article{Lehmer:1976:BRT,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Tabelle der
(Relativ)-Klassenzahlen der Kreisk{\"o}rper deren $
\phi $-Funktion des Wurtzelexponenten (Grad) nicht
gr{\"o}sser als 256 ist}} by G. Schrutka v.
Rechtenstamm}",
journal = j-MATH-COMPUT,
volume = "30",
number = "134",
pages = "375--376",
year = "1976",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005987",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2005987",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "G. Schrutka v. Rechtenstamm",
}
@Article{Lehmer:1976:CLP,
author = "D. H. Lehmer",
title = "The Characters of linear permutations",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "4",
number = "1",
pages = "1--16",
year = "1976",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087608817124",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
MRclass = "10M99",
MRnumber = "404196",
MRreviewer = "K. S. Williams",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "02 Apr 2008",
}
@Article{Lehmer:1976:IGS,
author = "D. H. Lehmer",
title = "Incomplete {Gauss} sums",
journal = j-MATHEMATIKA,
volume = "23",
number = "2",
pages = "125--135",
year = "1976",
CODEN = "MTKAAB",
DOI = "https://doi.org/10.1112/S0025579300008718",
ISSN = "0025-5793",
MRclass = "10G05",
MRnumber = "429787",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematika. A Journal of Pure and Applied
Mathematics",
journal-URL = "https://www.cambridge.org/core/journals/mathematika/all-issues",
}
@Article{Lehmer:1976:SCN,
author = "D. H. Lehmer",
title = "Strong {Carmichael} numbers",
journal = j-J-AUSTRAL-MATH-SOC-SER-A,
volume = "21",
number = "4",
pages = "508--510",
year = "1976",
CODEN = "JAMADS",
DOI = "https://doi.org/10.1017/s1446788700019364",
ISSN = "0263-6115 (print), 2396-8192 (electronic)",
MRclass = "10A10",
MRnumber = "417032",
MRreviewer = "Donald L. Goldsmith",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Australian Mathematical Society. Journal. Series A.
Pure Mathematics and Statistics",
}
@InProceedings{Lehmer:1977:EPN,
author = "D. H. Lehmer",
booktitle = "{Proceedings of the Sixth Manitoba Conference on
Numerical Mathematics (Univ. Manitoba, Winnipeg, Man.,
1976)}",
title = "Exploitation of parallelism in number theoretic and
combinatorial computation",
publisher = "????",
address = "????",
pages = "95--111. Congress. Numer., XVIII",
year = "1977",
MRclass = "10-04 (68A20)",
MRnumber = "0554190",
MRreviewer = "J. L. Selfridge",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1977:PFC,
author = "D. H. Lehmer",
title = "Prime Factors of Cyclotomic Class Numbers",
journal = j-MATH-COMPUT,
volume = "31",
number = "138",
pages = "599--607",
month = apr,
year = "1977",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006441",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A50 (12A35)",
MRnumber = "432589",
MRreviewer = "James R. C. Leitzel",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "cyclotomic class numbers; number theory; prime
factors",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1978:ATC,
author = "D. H. Lehmer and J. M. Masley",
title = "Addendum: {``Table of the cyclotomic class numbers $ h
\sp *(p) $ and their factors for $ 200 < p < 521 $''
(Math. Comp. {\bf 32} (1978), no. 142, 577--582)}",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "loose microfiche suppl",
year = "1978",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006166",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A35 (12A50)",
MRnumber = "498485",
MRreviewer = "Wells Johnson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1978:RRL,
author = "Emma Lehmer",
title = "Rational Reciprocity Laws",
journal = j-AMER-MATH-MONTHLY,
volume = "85",
number = "6",
pages = "467--472",
month = jun # "\slash " # jul,
year = "1978",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1978:TCC,
author = "D. H. Lehmer and J. M. Masley",
title = "Table of the Cyclotomic Class Numbers $ h^\ast (p) $
and Their Factors for $ 200 < p < 521 $",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "577--582",
month = apr,
year = "1978",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006166",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "12A35 (12A50)",
MRnumber = "498484",
MRreviewer = "Wells Johnson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "200<p<521; cyclotomic class numbers; factors; first
factor; number theory; primes",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1978:TCCb,
author = "D. H. Lehmer and J. M. Masley",
title = "Table of the Cyclotomic Class Numbers $ h^\ast (p) $
and Their Factors for $ 200 < p < 521 $",
journal = j-MATH-COMPUT,
volume = "32",
number = "142",
pages = "577--s27",
year = "1978",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2006166",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2006166",
abstract = "This table gives the values of the {"first} {factor"}
$ h^\ast (p) $ and their factorizations for all primes
$ p, 200 < p < 521 $. This extends similar data by M.
Newman [Math. Comp., v. 24, 1970, pp. 215-219], and
Schrutka [Berlin Akad. Abn., 1964]. The two methods
used to compute these data are described.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Knothe:1979:PSS,
author = "Herbert Knothe and Emma Lehmer",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6156",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "2",
pages = "134--135",
month = feb,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1979:BRS,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Solved and Unsolved Problems
in Number Theory}}, 2nd ed. by Daniel Shanks}",
journal = j-AM-SCI,
volume = "67",
number = "6",
pages = "730--730",
year = "1979",
CODEN = "AMSCAC",
DOI = "https://doi.org/10.2307/27849606",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/27849606",
acknowledgement = ack-nhfb,
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
reviewed-author = "Daniel Shanks",
}
@Article{Lehmer:1979:PES,
author = "D. H. Lehmer and Emma Lehmer",
title = "Picturesque Exponential Sums, {I}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "9",
pages = "725--733",
month = nov,
year = "1979",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322021",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "10G05 (05C99)",
MRnumber = "550302",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Rose:1979:PSS,
author = "Haim Rose and Emma Lehmer",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2673}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "57--57",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1980:CTE,
author = "D. H. Lehmer",
title = "On a constant of {Tur}{\'a}n and {Erd{\H{o}}s}",
journal = j-ACTA-ARITHMETICA,
volume = "37",
pages = "359--361",
year = "1980",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-37-1-359-361",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "05A15",
MRnumber = "598888",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Lehmer:1980:HSP,
author = "D. H. Lehmer",
title = "A History of the Sieve Process",
crossref = "Metropolis:1980:HCT",
pages = "445--456",
year = "1980",
bibdate = "Thu Mar 12 15:55:59 2015",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
URL = "http://www.sciencedirect.com/science/article/pii/B9780124916500500307",
abstract = "This chapter presents the history of the sieve
process. In a sieve problem, two numbers are given $A$
and $B$, $k$ integers or moduli, $k$ other integers,
and a matrix, and the problem is to find an unknown
integer $x$ that satisfies an equation. The sieve
problem is to find all those integers satisfying the
two kinds of conditions, congruential conditions, and
inequalities. The chapter discusses that there is
another type of sieve problem called quadratic in which
$ n_i$ is approximately equal to $ m_i / 2$. This means
that a random X has about a 50\% chance of satisfying
any one of these congruences and if one has $k$ of
these the number $X$ has about one chance in $ 2^k$.
The sieve method had a relay, some contacts, and
circuitry that was very primitive but quite effective.
The sieve has the advantage over the stencil method in
that one do not have to plan in advance how one wish to
go and apply carefully one stencil after another. It
was a genuine parallel machine.",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1980:PES,
author = "D. H. Lehmer and Emma Lehmer",
title = "Picturesque exponential sums. {II}",
journal = j-J-REINE-ANGEW-MATH,
volume = "318",
pages = "1--19",
year = "1980",
CODEN = "JRMAA8",
DOI = "https://doi.org/10.1515/crll.1980.318.1",
ISSN = "0075-4102 (print), 1435-5345 (electronic)",
ISSN-L = "0075-4102",
MRclass = "10G05",
MRnumber = "579379",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal f{{\"u}}r die Reine und Angewandte Mathematik.
[Crelle's Journal]",
journal-URL = "https://www.degruyter.com/view/j/crll",
}
@Article{Lehmer:1980:PSP,
author = "Emma Lehmer and David A. Sanchez",
title = "Problems and Solutions: Problems Dedicated to {Emory
P. Starke}: {S27}--{S28}",
journal = j-AMER-MATH-MONTHLY,
volume = "87",
number = "3",
pages = "218--218",
month = mar,
year = "1980",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Lehmer:1982:PSS,Sanchez:1981:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1981:CNS,
author = "D. H. Lehmer and Emma Lehmer",
booktitle = "Analytic number theory ({Philadelphia, Pa.}, 1980)",
title = "Cyclotomy for non-squarefree modul {I}",
journal = j-LECT-NOTES-MATH,
volume = "899",
pages = "276--300",
year = "1981",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0096468",
ISBN = "3-540-11173-5 (print), 3-540-38953-9 (e-book)",
ISBN-13 = "978-3-540-11173-3 (print), 978-3-540-38953-8
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "10G05 (12C20)",
MRnumber = "654534",
MRreviewer = "A. L. Whiteman",
bibdate = "Fri May 9 19:07:33 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
series = "Lecture Notes in Math.",
URL = "http://link.springer.com/chapter/10.1007/BFb0096468/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0096450",
book-URL = "http://www.springerlink.com/content/978-3-540-38953-8",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Lehmer:1981:FQB,
author = "D. H. Lehmer",
title = "On {Fermat}'s Quotient, Base Two",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "289--290",
month = jan,
year = "1981",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007748",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10-04",
MRnumber = "595064; 82e:10004",
MRreviewer = "M. C. Wunderlich",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "congruence; Fermat's quotient; linear algebra; number
theory; p=1093; p=3511",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1981:RM,
author = "D. H. Lehmer",
title = "Remarks on {$ (0, \, 1) $} matrices",
journal = j-CONG-NUM,
volume = "30",
pages = "29--44",
year = "1981",
ISSN = "0384-9864",
MRclass = "05B20 (05C50)",
MRnumber = "635935",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Congressus Numerantium. A Conference Journal on
Numerical Themes",
}
@Article{Lehmer:1982:BRE,
author = "D. H. Lehmer",
title = "Book Review: {{\booktitle{Error-Free Computation: Why
It is Needed and Methods for Doing It}} (Robert Todd
Gregory)}",
journal = j-SIAM-REVIEW,
volume = "24",
number = "1",
pages = "99--100",
month = "????",
year = "1982",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1024031",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:53:25 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/24/1;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1982",
}
@Article{Lehmer:1982:GEN,
author = "D. H. Lehmer",
title = "Generalized {Eulerian} numbers",
journal = j-J-COMB-THEORY-A,
volume = "32",
number = "2",
pages = "195--215",
year = "1982",
CODEN = "JCBTA7",
DOI = "https://doi.org/10.1016/0097-3165(82)90020-6",
ISSN = "0097-3165 (print), 1096-0899 (electronic)",
ISSN-L = "0097-3165",
MRclass = "10A40 (05A15)",
MRnumber = "654621",
MRreviewer = "Stefan A. Burr",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "https://www.sciencedirect.com/science/article/pii/0097316582900206",
acknowledgement = ack-nhfb,
fjournal = "Journal of Combinatorial Theory. Series A",
journal-URL = "http://www.sciencedirect.com/science/journal/00973165",
}
@Article{Lehmer:1982:PSS,
author = "Emma Lehmer and Bruce C. Berndt and Ronald J. Evans",
title = "Problems and Solutions: Solutions of Problems
Dedicated to {Emory P. Starke}: {S27}",
journal = j-AMER-MATH-MONTHLY,
volume = "89",
number = "7",
pages = "495--496",
month = aug # "\slash " # sep,
year = "1982",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:51 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Lehmer:1980:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Book{Brillhart:1983:F,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of {$ b^n \pm 1 $}",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "lxviii + 178",
year = "1983",
ISBN = "0-8218-5021-0",
ISBN-13 = "978-0-8218-5021-3",
MRclass = "10A25 (10-04)",
MRnumber = "715603",
MRreviewer = "Duncan A. Buell",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "$ b = 2, \, 3, \, 5, \, 6, \, 7, \, 10, \, 11, \, 12 $
up to high powers",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
}
@Book{Brillhart:1983:FHP,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $, $ b = 2, 3, 5, 6, 7,
10, 11, 12 $ up to high powers",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "lxvii + 178",
year = "1983",
ISBN = "0-8218-5021-0 (paperback)",
ISBN-13 = "978-0-8218-5021-3 (paperback)",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA161.F3 F33 1983",
bibdate = "Sat Mar 10 10:17:57 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
ZMnumber = "Zbl 0527.10001",
acknowledgement = ack-nhfb,
remark = "Factorizations of the form in the title are of
interest for simplifying computations in the
determination of optimal parameters for linear and
multiplicative congruential generators.",
subject = "Factors (Algebra); Tables",
}
@Article{Lehmer:1983:CAC,
author = "D. H. Lehmer",
title = "Computational advantages of cyclotomic fields",
journal = j-CONG-NUM,
volume = "38",
pages = "133--137",
year = "1983",
ISSN = "0384-9864",
MRclass = "12-04 (12A35)",
MRnumber = "703246",
MRreviewer = "Wells Johnson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Congressus Numerantium. A Conference Journal on
Numerical Themes",
}
@Article{Lehmer:1983:CSP,
author = "D. H. Lehmer and Emma Lehmer",
title = "Cyclotomy With Short Periods",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "743--758",
month = oct,
year = "1983",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007709",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10G05 (10A40 12C20)",
MRnumber = "717718; 84j:10048",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1983:MSC,
author = "D. H. Lehmer and Emma Lehmer",
title = "Multiple sums of cyclotomic numbers",
journal = j-UTIL-MATH,
volume = "23",
pages = "223--239",
year = "1983",
CODEN = "UTMADA",
ISSN = "0315-3681",
MRclass = "12C20 (10G05)",
MRnumber = "703141",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Utilitas Mathematica. An International Journal of
Discrete and Combinatorial Mathematics, and Statistical
Design",
}
@Article{Lehmer:1983:PPH,
author = "D. H. Lehmer and Emma Lehmer",
title = "Properties of Polynomials having {Fibonacci} Numbers
for Coefficients",
journal = j-FIB-QUART,
volume = "21",
number = "1",
pages = "62--64",
month = feb,
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
MRclass = "10A40 (10M05)",
MRnumber = "696680",
MRreviewer = "Neville Robbins",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.fq.math.ca/21-1.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/21-1/lehmer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Lehmer:1983:PPR,
author = "Emma Lehmer",
title = "Patterns of power residues",
journal = j-J-NUMBER-THEORY,
volume = "17",
number = "1",
pages = "37--46",
month = aug,
year = "1983",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(83)90004-5",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:43 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X83900045",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Lehmer:1984:SPP,
author = "D. H. Lehmer and Emma Lehmer",
title = "The sextic period polynomial",
journal = j-PAC-J-MATH,
volume = "111",
number = "2",
pages = "341--355",
year = "1984",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "11L03 (11T06)",
MRnumber = "734860",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102710575",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Lehmer:1985:CPG,
author = "D. H. Lehmer",
title = "The chromatic polynomial of a graph",
journal = j-PAC-J-MATH,
volume = "118",
number = "2",
pages = "463--469",
year = "1985",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "05C15",
MRnumber = "789185",
MRreviewer = "Ruth Bari",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102706453",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Lehmer:1985:ISI,
author = "D. H. Lehmer",
title = "Interesting Series Involving the Central Binomial
Coefficient",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "7",
pages = "449--457",
month = aug # "\slash " # sep,
year = "1985",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322496",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "40A05 (05A10 11J72)",
MRnumber = "801217; 87c:40002",
MRreviewer = "P. L. Cijsouw",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1985:NAS,
author = "D. H. Lehmer",
title = "Numbers associated with {Stirling} numbers and $ x^x
$",
journal = j-ROCKY-MOUNTAIN-J-MATH,
volume = "15",
number = "2",
pages = "461--479",
year = "1985",
CODEN = "RMJMAE",
DOI = "https://doi.org/10.1216/RMJ-1985-15-2-461",
ISSN = "0035-7596 (print), 1945-3795 (electronic)",
ISSN-L = "0035-7596",
MRclass = "05A15 (05A19 05A40 11B73)",
MRnumber = "823258",
MRreviewer = "Louis Shapiro",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Number theory (Winnipeg, Man., 1983)",
acknowledgement = ack-nhfb,
fjournal = "The Rocky Mountain Journal of Mathematics",
journal-URL = "http://projecteuclid.org/euclid.rmjm",
}
@Article{Lehmer:1985:UPS,
author = "Emma Lehmer",
title = "Unsolved Problems: On Square-Separable Primes",
journal = j-AMER-MATH-MONTHLY,
volume = "92",
number = "10",
pages = "719--725",
month = dec,
year = "1985",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:09 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lehmer:1986:CPS,
author = "D. H. Lehmer",
title = "Coloring the {Platonic} solids",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "4",
pages = "288--292",
year = "1986",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2323682",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05C15",
MRnumber = "835299",
MRreviewer = "Paul A. Catlin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1986:ID,
author = "D. H. Lehmer and K. Mahler and A. J. {van der
Poorten}",
title = "Integers with digits $0$ or $1$",
journal = j-MATH-COMPUT,
volume = "46",
number = "174",
pages = "683--689",
month = apr,
year = "1986",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2008006",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11A63 (11Y99)",
MRnumber = "829638; 87e:11017",
MRreviewer = "F. Schweiger",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Australian Nat. Univ., Canberra, ACT,
Australia",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "function approximation; nonnegative integers",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1986:NCP,
author = "D. H. Lehmer",
title = "Notes: Coloring the {Platonic} Solids",
journal = j-AMER-MATH-MONTHLY,
volume = "93",
number = "4",
pages = "288--292",
month = apr,
year = "1986",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05C15",
MRnumber = "87e:05072",
MRreviewer = "Paul A. Catlin",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
note = "See errata \cite{Kleiner:1990:ECP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Chung:1987:OGP,
author = "K. L. Chung and R. P. Boas and D. H. Lehmer and Doris
Schattschneider and R. C. Read and M. M. Schiffer and
Alan H. Schoenfeld",
title = "Obituary: {George P{\'o}lya}",
journal = j-BULL-LOND-MATH-SOC,
volume = "19",
number = "6",
pages = "559--608",
month = nov,
year = "1987",
CODEN = "LMSBBT",
DOI = "https://doi.org/10.1112/blms/19.6.559",
ISSN = "0024-6093 (print), 1469-2120 (electronic)",
ISSN-L = "0024-6093",
bibdate = "Mon Jan 31 10:14:46 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the London Mathematical Society",
journal-URL = "http://blms.oxfordjournals.org/content/by/year",
}
@Article{Lehmer:1987:CR,
author = "D. H. Lehmer and Emma Lehmer",
title = "Cyclotomic Resultants",
journal = j-MATH-COMPUT,
volume = "48",
number = "177",
pages = "211--216",
month = jan,
year = "1987",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007885",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11T21",
MRnumber = "866110; 88c:11075",
MRreviewer = "A. L. Whiteman",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "cubic residues; cyclotomic; cyclotomic period
polynomials; cyclotomic resultants; eth; multiprecision
system; number theory; numbers; polynomials; power
character; quartic residues",
treatment = "T Theoretical or Mathematical",
}
@Book{Brillhart:1988:F,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of {$ b^n \pm 1 $}",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Second",
pages = "xcvi + 236",
year = "1988",
DOI = "https://doi.org/10.1090/conm/022",
ISBN = "0-8218-5078-4",
ISBN-13 = "978-0-8218-5078-7",
MRclass = "11A25 (11-04 11Y05)",
MRnumber = "996414",
MRreviewer = "Duncan A. Buell",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "$ b = 2, 3, 5, 6, 7, 10, 11, 12 $ up to high powers",
series = "Contemporary Mathematics",
acknowledgement = ack-nhfb,
}
@Book{Brillhart:1988:FHP,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $, $ b = 2, 3, 5, 6, 7,
10, 11, 12 $ up to high powers",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Second",
pages = "xcv + 236",
year = "1988",
ISBN = "0-8218-5078-4",
ISBN-13 = "978-0-8218-5078-7",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA161.F3 F33 1988",
bibdate = "Sat Mar 10 10:18:16 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
ZMnumber = "Zbl 0659.10001",
acknowledgement = ack-nhfb,
remark = "Factorizations of the form in the title are of
interest for simplifying computations in the
determination of optimal parameters for linear and
multiplicative congruential generators.",
subject = "factors (algebra); tables",
}
@Article{Lehmer:1988:CBG,
author = "Emma Lehmer",
title = "Connection between {Gaussian} periods and cyclic
units",
journal = j-MATH-COMPUT,
volume = "50",
number = "182",
pages = "535--541",
month = apr,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11R11 (11R16 11R21 11R27)",
MRnumber = "89h:11067a",
MRreviewer = "Harvey Cohn",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics);
C1110 (Algebra); C1160 (Combinatorial mathematics)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "cyclic units; Gaussian periods; group theory; number
theory; parametric families of; polynomials; prime
conductor; real quintic field; units",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Lehmer:1988:HCR,
author = "D. H. Lehmer",
booktitle = "A century of mathematics in {America}, {Part I}",
title = "A half century of reviewing",
volume = "1",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "265--266",
year = "1988",
MRclass = "01A70",
MRnumber = "1003174",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Hist. Math.",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1988:NAB,
author = "D. H. Lehmer",
title = "A New Approach to {Bernoulli} Polynomials",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "10",
pages = "905--911",
month = dec,
year = "1988",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2322383",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B68 (39B20)",
MRnumber = "979133; 90c:11014",
MRreviewer = "W. Herget",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See letters to the editor
\cite{Callan:1989:LEN,Howe:1989:LEN}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Lehmer:1988:SLP,
author = "D. H. Lehmer",
title = "The sum of like powers of the zeros of the {Riemann}
zeta function",
journal = j-MATH-COMPUT,
volume = "50",
number = "181",
pages = "265--273",
month = jan,
year = "1988",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2007930",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11M26 (11Y35)",
MRnumber = "917834; 88m:11073",
MRreviewer = "Bruce C. Berndt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C7310
(Mathematics)",
corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "complex; derivative; Euler--Maclaurin summation
formula; function evaluation; logarithmic; Maclaurin
expansion coefficients; mathematics computing; number
theory; poles and zeros; Riemann zeta function; series
(mathematics); Sitaramachandrarao limit; sum of like
powers; theorem; zeros",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@InCollection{Lehmer:1990:FTN,
author = "D. H. Lehmer",
booktitle = "Computers in mathematics ({Stanford, CA}, 1986)",
title = "Factorization then and now",
volume = "125",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "311--320",
year = "1990",
MRclass = "11Y05 (01A60 11-03 11A51)",
MRnumber = "1068541",
MRreviewer = "Jeffrey O. Shallit",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Lecture Notes in Pure and Appl. Math.",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1990:MPC,
author = "D. H. Lehmer",
title = "A matrix paraphrase of cyclotomy",
journal = j-ACTA-ARITHMETICA,
volume = "53",
number = "4",
pages = "357--366",
year = "1990",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-53-4-357-366",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11T22",
MRnumber = "1067768",
MRreviewer = "Ronald J. Evans",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Lehmer:1990:MPK,
author = "D. H. Lehmer",
title = "A matrix paraphrase of {Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "56",
number = "1",
pages = "83--92",
year = "1990",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-56-1-83-92",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11L05 (11C20)",
MRnumber = "1067983",
MRreviewer = "Dorian Goldfeld",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Lehmer:1991:MP,
author = "D. H. Lehmer",
title = "Matrix paraphrases",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "28",
number = "4",
pages = "251--264",
year = "1991",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081089108818049",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
MRclass = "15A99 (11L05 11T22)",
MRnumber = "1088422",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "02 Apr 2008",
}
@Article{Lehmer:1991:NSC,
author = "D. H. Lehmer",
title = "The number of solutions of a certain congruence
involving the sum of like powers",
journal = j-UTIL-MATH,
volume = "39",
pages = "65--89",
year = "1991",
CODEN = "UTMADA",
ISSN = "0315-3681",
MRclass = "11A07 (11D79)",
MRnumber = "1119764",
MRreviewer = "K. S. Williams",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Utilitas Mathematica. An International Journal of
Discrete and Combinatorial Mathematics, and Statistical
Design",
}
@Article{Lehmer:1993:LP,
author = "D. H. Lehmer and Emma Lehmer",
title = "The {Lehmer Project}",
journal = j-MATH-COMPUT,
volume = "61",
number = "203",
pages = "313--317",
month = jul,
year = "1993",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2152956",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11R27 (11T22)",
MRnumber = "93k:11100; 1189521; 93k:11100",
MRreviewer = "Duncan A. Buell",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lehmer:1993:MWM,
author = "D. H. Lehmer",
title = "The mathematical work of {Morgan Ward}",
journal = j-MATH-COMPUT,
volume = "61",
number = "203",
pages = "307--311",
month = jul,
year = "1993",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2152955",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "01A70 (11-03)",
MRnumber = "1182245; 93k:01071",
MRreviewer = "{\v{S}}tefan Porubsk{\'y}",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Wagenpfeil:2000:MBS,
author = "Stefan Wagenpfeil and Uwe Treiber and Antonie
Lehmer",
title = "A {MATLAB}-Based Software Tool for Changepoint
Detection and Nonlinear Regression in Dose-Response
Relationships",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1933",
pages = "190--??",
year = "2000",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Tue Sep 10 19:08:54 MDT 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t1933.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/lncs2000.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/1933/19330190.htm;
http://link.springer-ny.com/link/service/series/0558/papers/1933/19330190.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Young:2022:MLL,
author = "Paul Thomas Young",
title = "From {Madhava--Leibniz} to {Lehmer}'s Limit",
journal = j-AMER-MATH-MONTHLY,
volume = "129",
number = "6",
pages = "524--538",
year = "2022",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.1080/00029890.2022.2051405",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Wed Jun 8 08:16:36 MDT 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly2020.bib",
abstract = "In a 1985 article in this \booktitle{Monthly}, D. H.
Lehmer considered a fascinating family of infinite
series involving the central binomial coefficient,
which exhibited limiting behavior involving the
ubiquitous constant $ \pi $ in two different ways; yet
it was not until 2012 that Dyson et al. gave a proof of
the latter, naming it Lehmer's limit in his honor. Here
we give an elementary demonstration that both phenomena
derive from simple transformations of the celebrated
Madhava--Leibniz series for $ \pi / 4 $.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html;
https://www.tandfonline.com/loi/uamm20",
onlinedate = "03 May 2022",
}
@Article{Mirsky:1948:RDH,
author = "L. Mirsky",
title = "A remark on {D. H. Lehmer}'s solution of the
{Tarry--Escott} problem",
journal = "Scripta Math.",
volume = "14",
pages = "126--127",
year = "1948",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "27284",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
}
@Article{Palama:1953:TDH,
author = "G. Palam{\`a}",
title = "On a theorem of {D. H. Lehmer} concerning the
{Tarry--Escott} problem",
journal = "Scripta Math.",
volume = "19",
pages = "19--23",
year = "1953",
ISSN = "0036-9713",
MRclass = "10.0X",
MRnumber = "55374",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Scripta Mathematica",
}
@Article{Newman:1957:CDHa,
author = "Morris Newman",
title = "Comment: {D. H. Lehmer, \booktitle{On the diophantine
equation $ x^3 + y^3 + z^3 = 1 $}, London Math. Soc.,
Jn., v. 31, 1956, p. 275--280}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "106--107",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002157",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Newman:1957:CDHb,
author = "Morris Newman",
title = "Comment: {D. H. Lehmer, \booktitle{On the roots of the
Riemann zeta-function}, Acta Mathematica, v. 95, 1956,
p. 291--298}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "11",
number = "58",
pages = "107--108",
month = apr,
year = "1957",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
bibdate = "Mon Feb 27 08:05:17 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2002157",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Roberts:1958:NPT,
author = "J. B. Roberts",
title = "A new proof of a theorem of {Lehmer}",
journal = j-CAN-J-MATH,
volume = "10",
number = "??",
pages = "191--194",
month = "????",
year = "1958",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1958-021-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:38:29 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v10/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath1950.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Selfridge:1959:BRT,
author = "J. L. Selfridge",
title = "Book Review: {{\booktitle{Tables Concerning the
Distribution of Primes up to 37 Millions}} by D. H.
Lehmer}",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "65",
pages = "56--57",
year = "1959",
CODEN = "MTTCAS",
DOI = "https://doi.org/10.2307/2002199",
ISSN = "0891-6837",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2002199",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "D. H. Lehmer",
}
@Article{Yamada:1960:PPN,
author = "S. Yamada",
title = "On the period of pseudorandom numbers generated by
{Lehmer}'s congruential method",
journal = "J. Op. Research Soc. Japan",
volume = "3",
number = "??",
pages = "113--123",
month = "????",
year = "1960",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Jan 16 22:43:38 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Liniger:1961:MDH,
author = "Werner Liniger",
title = "On a Method by {D. H. Lehmer} for the Generation of
Pseudo Random Numbers",
journal = j-NUM-MATH,
volume = "3",
pages = "265--270",
month = dec,
year = "1961",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386027",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.15",
MRnumber = "129529",
MRreviewer = "R. W. Hamming",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
HDnumber = "71",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Rasmussen:1964:SPE,
author = "Ole Lang Rasmussen",
title = "Solution of polynomial equations by the method of {D.
H. Lehmer}",
journal = j-BIT,
volume = "4",
pages = "250--260",
year = "1964",
CODEN = "BITTEL, NBITAB",
ISSN = "0901-246X",
ISSN-L = "0006-3835",
MRclass = "68.00",
MRnumber = "177526",
MRreviewer = "D. H. Lehmer",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Nordisk Tidskrift for Informationsbehandling",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Payne:1969:CLP,
author = "W. H. Payne and J. R. Rabung and T. P. Bogyo",
title = "Coding the {Lehmer} pseudo-random number generator",
journal = j-CACM,
volume = "12",
number = "2",
pages = "85--86",
month = feb,
year = "1969",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/362848.362860",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:24 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
abstract = "An algorithm and coding technique is presented for
quick evaluation of the Lehmer pseudo-random number
generator modulo $ 2^{31} - 1 $, a prime Mersenne
number which produces $ 2^{31} - 2 $ numbers, on a
$p$-bit (greater than $ 31 $ ) computer. The
computation method is extendible to limited problems in
modular arithmetic. Prime factorization for $ 2^{61} -
2 $ and a primitive root for $ 2^{61} - 1 $, the next
largest prime Mersenne number, are given for possible
construction of a pseudo-random number generator of
increased cycle length.",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
corpsource = "Washington State Univ., Pullman, WA, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "modular arithmetic; prime factorization; primitive
roots; PRNG (pseudo-random number generator);
programming; pseudo-random number; random number;
random number generation; simulation; uniform frequency
function; uniform probability density",
}
@Article{Stewart:1969:LMF,
author = "G. W. {Stewart, III}",
title = "On {Lehmer}'s Method for Finding the Zeros of a
Polynomial",
journal = j-MATH-COMPUT,
volume = "23",
number = "108",
pages = "829--835, s24--s30",
month = oct,
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database; Theory/Matrix.bib",
note = "See corrigendum \cite{Stewart:1971:CLM}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
gws-number = "J7",
journal-URL = "http://www.ams.org/mcom/",
kwds = "nlop, polynomial, Lehmer's method",
xxpages = "829--836, s24--s30",
}
@Article{Kravitz:1970:LLT,
author = "Sidney Kravitz",
title = "The {Lucas--Lehmer} Test for {Mersenne} Numbers",
journal = j-FIB-QUART,
volume = "8",
number = "1",
pages = "1--3",
month = feb,
year = "1970",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:05:23 MDT 2011",
bibsource = "http://www.fq.math.ca/8-1.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/8-1/kravitz.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{S:1970:BRT,
author = "D. S.",
title = "Book Review: {{\booktitle{Tables of Ramanujan's
Function $ \tau (n) $}}, by D. H. Lehmer}",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "495--496",
month = apr,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004515",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2004515",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
reviewed-author = "D. H. Lehmer",
}
@Article{Sinha:1971:NDH,
author = "T. N. Sinha",
title = "A note on {D. H. Lehmer}'s solution of the
{Tarry--Escott} problem",
journal = j-MATH-STUDENT,
volume = "39",
pages = "331--333 (1972)",
year = "1971",
CODEN = "MTHSBH",
ISSN = "0025-5742",
MRclass = "10A45",
MRnumber = "332649",
MRreviewer = "Stanley Gill Williamson",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Volume dedicated to the memory of V. Ramaswami Aiyar",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Student",
}
@Article{Stewart:1971:CLM,
author = "G. W. {Stewart, III}",
title = "Corrigendum: {``On Lehmer's Method for Finding the
Zeros of a Polynomial''}",
journal = j-MATH-COMPUT,
volume = "25",
number = "113",
pages = "203--203",
month = jan,
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
note = "See \cite{Stewart:1969:LMF}.",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
gws-number = "J7",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Swift:1972:EDH,
author = "J. D. Swift",
title = "Errata to {D. H. Lehmer}'s {``Table errata: `Table des
nombres compos{\'e}s v{\'e}rifiant le th{\'e}or{\`e}me
de Fermat pour le module 2 jusqu'{\`a} 100.000.000' by
P. Poulet'' (Math. Comp. {\bf 25} (1971), no. 116,
944--945)}",
journal = j-MATH-COMPUT,
volume = "26",
pages = "814",
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65A05 (10A99)",
MRnumber = "655816",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197207)26:119<813:TE>2.0.CO;2-T&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Trigg:1973:GPR,
author = "Charles W. Trigg",
title = "Geometric Proof of a Result of {Lehmer}'s",
journal = j-FIB-QUART,
volume = "11",
number = "5",
pages = "539--540",
month = dec,
year = "1973",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 17:58:46 MDT 2011",
bibsource = "http://www.fq.math.ca/11-5.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/11-5/trigg.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Spira:1974:TEC,
author = "Robert Spira and Alexander Scheeline",
title = "Table errata: {``A cotangent analogue of continued
fractions'' (Duke Math. J. {\bf 4} (1938), 323--340) by
D. H. Lehmer}",
journal = j-MATH-COMPUT,
volume = "28",
pages = "677",
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10-04 (10A30)",
MRnumber = "345897",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(197404)28:126<677:TE>2.0.CO;2-A&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Fuller:1976:PPR,
author = "A. T. Fuller",
title = "The Period of Pseudo-Random Numbers Generated by
{Lehmer}'s Congruential Method",
journal = j-COMP-J,
volume = "19",
number = "2",
pages = "173--177",
month = may,
year = "1976",
CODEN = "CMPJA6",
DOI = "https://doi.org/10.1093/comjnl/19.2.173",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Tue Mar 25 13:51:56 MST 1997",
bibsource = "Compendex database;
http://comjnl.oxfordjournals.org/content/19/2.toc;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/compj.bib;
http://www.math.utah.edu/pub/tex/bib/compj1970.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/",
URL = "http://comjnl.oxfordjournals.org/content/19/2/173.full.pdf+html;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/173.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/174.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/175.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/176.tif;
http://www3.oup.co.uk/computer_journal/hdb/Volume_19/Issue_02/tiff/177.tif",
acknowledgement = ack-nhfb,
classcodes = "C7890 (Other special applications of computing)",
classification = "922",
corpsource = "Dept. of Engng., Univ. of Cambridge, Cambridge, UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "Lehmer's congruential method; mathematical statistics;
numbers; period; pseudorandom; random number
generation; sequence",
treatment = "T Theoretical or Mathematical",
}
@Article{Williams:1976:SAP,
author = "H. C. Williams and J. S. Judd",
title = "Some Algorithms for Prime Testing Using Generalized
{Lehmer} Functions",
journal = j-MATH-COMPUT,
volume = "30",
number = "136",
pages = "867--886",
month = oct,
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algorithms; generalized Lehmer functions; integer;
number theory; prime testing",
treatment = "T Theoretical or Mathematical",
}
@Article{Waterman:1977:MGC,
author = "M. S. Waterman",
title = "Multidimensional greatest common divisor and {Lehmer}
algorithms",
journal = j-BIT,
volume = "17",
number = "4",
pages = "465--478",
month = dec,
year = "1977",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01933456",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 18:52:15 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=17&issue=4;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=17&issue=4&spage=465",
acknowledgement = ack-nhfb,
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@TechReport{Kirby:1979:MFC,
author = "William H. Kirby",
title = "Machine-independent {FORTRAN} coding of {Lehmer}
random number generators",
type = "Open-file series",
number = "80- 004",
institution = "U.S. Geological Survey",
address = "Reston, VA, USA",
pages = "[i] + 11",
year = "1979",
bibdate = "Sat Jan 27 13:40:57 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
annote = "Bibliography: leaf 9.",
keywords = "Random number generators --- Data processing.",
}
@Article{Boyd:1981:KTL,
author = "David W. Boyd",
title = "{Kronecker}'s theorem and {Lehmer}'s problem for
polynomials in several variables",
journal = j-J-NUMBER-THEORY,
volume = "13",
number = "1",
pages = "116--121",
month = feb,
year = "1981",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(81)90033-0",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:46:37 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X81900330",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Brillhart:1982:TEN,
author = "John Brillhart",
title = "Table errata: {``New primality criteria and
factorizations of $ 2^m \pm 1 $'' [Math. Comp. {\bf 29}
(1975), 620--647; MR {\bf 52} \#5546] by the author, D.
H. Lehmer and J. L. Selfridge}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "747--747",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "669665; 83j:10010",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
URL = "http://links.jstor.org/sici?sici=0025-5718(198210)39:160<747:TE>2.0.CO;2-O&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Cantor:1982:CDH,
author = "D. C. Cantor and E. G. Straus",
title = "On a conjecture of {D. H. Lehmer}",
journal = j-ACTA-ARITHMETICA,
volume = "42",
number = "1",
pages = "97--100",
year = "1982/83",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-42-1-97-100",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "12A15 (10F25)",
MRnumber = "679001",
MRreviewer = "Christopher Smyth",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Rotkiewicz:1982:ELP,
author = "A. Rotkiewicz",
title = "On {Euler Lehmer} pseudoprimes and strong {Lehmer}
pseudoprimes with parameters $ {L} $, $ {Q} $ in
arithmetic progressions",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "239--247",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "10A05 (10A35)",
MRnumber = "83k:10004",
MRreviewer = "Don Redmond",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Brillhart:1983:LEP,
author = "John Brillhart",
title = "Letter to the editor: {``Properties of polynomials
having Fibonacci numbers for coefficients'' [Fibonacci
Quart. {\bf 21} (1983), no. 1, 62--64; MR 84f:10018a]
by D. H. Lehmer and E. Lehmer}",
journal = j-FIB-QUART,
volume = "21",
number = "4",
pages = "259",
year = "1983",
CODEN = "FIBQAU",
ISSN = "0015-0517",
MRclass = "10A40 (10M05)",
MRnumber = "723785",
MRreviewer = "Neville Robbins",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Cantor:1983:CPC,
author = "D. C. Cantor and E. G. Straus",
title = "Correction to the paper: {``On a conjecture of D. H.
Lehmer'' [Acta Arith. {\bf 42} (1982/83), no. 1,
97--100; MR MR0679001 (84a:12004)]}",
journal = j-ACTA-ARITHMETICA,
volume = "42",
number = "3",
pages = "327",
year = "1983",
CODEN = "AARIA9",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11R06 (11J68)",
MRnumber = "729742",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Polska Akademia Nauk. Instytut Matematyczny. Acta
Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Spoletini:1984:GPF,
author = "Enrico Spoletini",
title = "Generation of permutations following {Lehmer} and
{Howell}",
journal = j-MATH-COMPUT,
volume = "43",
number = "168",
pages = "565--572",
month = oct,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "05A05",
MRnumber = "86h:05006",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Lagarias:1985:CML,
author = "J. C. Lagarias and V. S. Miller and A. M. Odlyzko",
title = "Computing $ \pi (x) $: The {Meissel--Lehmer} Method",
journal = j-MATH-COMPUT,
volume = "44",
number = "170",
pages = "537--560",
month = apr,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y35 (11-04 11N05)",
MRnumber = "86h:11111",
MRreviewer = "Kenneth A. Jukes",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics); C4240 (Programming and
algorithm theory)",
corpsource = "AT\&T Bell Labs., Murray Hill, NJ, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "asymptotic running time analysis; computational
complexity; counting function; Meissel--Lehmer method;
number theory; parallel; parallel processing; partial
sieving functions; prime numbers; processors; random
access machine; recurrences; storage locations",
treatment = "T Theoretical or Mathematical",
}
@Article{Ramaiah:1985:PDH,
author = "V. Sita Ramaiah",
title = "On the {$ \psi $}-product of {D. H. Lehmer}",
journal = "Indian J. Pure Appl. Math.",
volume = "16",
number = "9",
pages = "994--1008",
year = "1985",
ISSN = "0019-5588",
MRclass = "11A25",
MRnumber = "805847",
MRreviewer = "Calvin T. Long",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Indian Journal of Pure and Applied Mathematics",
}
@Article{W:1985:BRF,
author = "H. C. W.",
title = "Book Review: {{\booktitle{Factorizations of $ b^n \pm
1, b = 2, 3, 5, 6, 7, 10, 11, 12 $ up to High Powers}}.
by John Brillhart, D. H. Lehmer, J. L. Selfridge,
Bryant Tuckerman, S. S. Wagstaff, Jr.}",
journal = "Mathematics of Computation",
volume = "45",
number = "171",
pages = "273--274",
year = "1985",
DOI = "https://doi.org/10.2307/2008069",
bibdate = "Mon Jan 31 10:50:30 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.jstor.org/stable/2008069",
acknowledgement = ack-nhfb,
reviewed-author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman",
}
@Article{Shiu:1986:CST,
author = "Peter Shiu",
title = "Counting sums of two squares: the {Meissel--Lehmer}
method",
journal = j-MATH-COMPUT,
volume = "47",
number = "175",
pages = "351--360",
month = jul,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y35 (11N37 11P05)",
MRnumber = "87h:11127",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib;
JSTOR database",
note = "See corrigendum \cite{Shiu:2019:CCS}.",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Loughborough Univ. of Technol., UK",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Meissel--Lehmer method; number theory; prime-counting
function; sums of two squares",
treatment = "T Theoretical or Mathematical",
}
@Article{Saito:1987:PDH,
author = "Sadao Saito",
title = "On a problem of {D. H. Lehmer} in number theory",
journal = "{Miyagi} National College of Technology. {Research}
Reports",
number = "24",
pages = "51--56 (1988)",
year = "1987",
ISSN = "0286-3707",
MRclass = "11Y99 (11A99)",
MRnumber = "953773",
MRreviewer = "Zun Shan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
ajournal = "Res. Rep. Miyagi Nat. College Tech.",
fjournal = "Miyagi National College of Technology. Research
Reports",
}
@Article{Ramaiah:1988:PDH,
author = "V. Sita Ramaiah",
title = "On the {$ \psi $}-product of {D. H. Lehmer}. {II}",
journal = "Indian J. Pure Appl. Math.",
volume = "19",
number = "1",
pages = "1--10",
year = "1988",
ISSN = "0019-5588",
MRclass = "11A25",
MRnumber = "924917",
MRreviewer = "Calvin T. Long",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Indian Journal of Pure and Applied Mathematics",
}
@Article{Rosen:1988:NPL,
author = "Michael I. Rosen",
title = "Notes: a Proof of the {Lucas--Lehmer} Test",
journal = j-AMER-MATH-MONTHLY,
volume = "95",
number = "9",
pages = "855--856",
month = nov,
year = "1988",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A51 (11Y11)",
MRnumber = "89i:11011",
MRreviewer = "John Michael Schram",
bibdate = "Mon Jun 28 12:39:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Callan:1989:LEN,
author = "David Callan",
title = "Letter to the editor: {``A new approach to Bernoulli
polynomials'' [Amer. Math. Monthly {\bf 95} (1988), no.
10, 905--911; MR0979133 (90c:11014)] by D. H. Lehmer}",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "6",
pages = "510--510",
month = jun # "\slash " # jul,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11B68",
MRnumber = "999413; 90g:11024",
MRreviewer = "W. Herget",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See \cite{Lehmer:1988:NAB}.",
URL = "http://links.jstor.org/sici?sici=0002-9890(198906/198907)96:6<510:LTTE>2.0.CO;2-Y&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Akiyama:1990:LNA,
author = "Shigeki Akiyama",
title = "{Lehmer} numbers and an asymptotic formula for $ \pi
$",
journal = j-J-NUMBER-THEORY,
volume = "36",
number = "3",
pages = "328--331",
month = nov,
year = "1990",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/0022-314X(90)90093-7",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:47:06 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022314X90900937",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Kleiner:1990:ECP,
author = "Hans-J. Kleiner",
title = "Errata: {``Coloring the Platonic solids'' [Amer. Math.
Monthly {\bf 93} (1986), no. 4, 288--292; MR0835299
(87e:05072)] by D. H. Lehmer}",
journal = j-AMER-MATH-MONTHLY,
volume = "97",
number = "5",
pages = "412--412",
month = may,
year = "1990",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05C15",
MRnumber = "1048926; 91a:05044",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
note = "See \cite{Lehmer:1986:NCP}.",
URL = "http://links.jstor.org/sici?sici=0002-9890(199005)97:5<412:EACTPS>2.0.CO;2-G&origin=MSN",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Darmon:1991:NPE,
author = "Henri Darmon",
title = "Note on a Polynomial of {Emma Lehmer}",
journal = j-MATH-COMPUT,
volume = "56",
number = "194",
pages = "795--800",
month = apr,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11R20 (11G16)",
MRnumber = "91i:11149",
MRreviewer = "Lawrence Washington",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290F
(Interpolation and function approximation); C1160
(Combinatorial mathematics); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math., Harvard Univ., Cambridge, MA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "fundamental units; Gauss sums; Gaussian; modular
curves; number theory; periods; polynomial;
polynomials; prime conductor; real quintic fields",
treatment = "T Theoretical or Mathematical",
}
@Article{McDaniel:1991:GCD,
author = "Wayne L. McDaniel",
title = "The {G.C.D.} in {Lucas} Sequences and {Lehmer} Number
Sequences",
journal = j-FIB-QUART,
volume = "29",
number = "1",
pages = "24--29",
month = feb,
year = "1991",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:30 MDT 2011",
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http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/29-1/mcdaniel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Anonymous:1992:PDH,
author = "Anonymous",
title = "Publications of {D. H. Lehmer}",
journal = j-ACTA-ARITHMETICA,
volume = "62",
number = "3",
pages = "215--220",
year = "1992",
CODEN = "AARIA9",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "01A70",
MRnumber = "1197417",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@InProceedings{Deng:1992:GLT,
author = "L.-Y. Deng and C. Rousseau and Y. Yuan",
title = "Generalized {Lehmer--Tausworthe} Random Number
Generators",
crossref = "Vouk:1992:PAS",
pages = "108--115",
year = "1992",
DOI = "https://doi.org/10.1145/503720.503758",
bibdate = "Mon Feb 27 18:16:47 2012",
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http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Apostol:1993:ELP,
author = "Tom M. Apostol",
title = "An extension of the {Lehmers}' picturesque exponential
sums",
journal = j-MATH-COMPUT,
volume = "61",
number = "203",
pages = "25--28",
month = jul,
year = "1993",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11L03",
MRnumber = "93k:11071",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
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http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Bruce:1993:RTP,
author = "J. W. Bruce",
title = "A Really Trivial Proof of the {Lucas--Lehmer} Test",
journal = j-AMER-MATH-MONTHLY,
volume = "100",
number = "4",
pages = "370--371",
month = apr,
year = "1993",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "11A51",
MRnumber = "94c:11006",
MRreviewer = "Richard P. Lewis",
bibdate = "Mon Jun 28 12:37:05 MDT 1999",
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http://www.math.utah.edu/pub/tex/bib/fibquart.bib;
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acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Csordas:1993:NLP,
author = "G. Csordas and A. M. Odlyzko and W. Smith and R. S.
Varga",
title = "A new {Lehmer} pair of zeros and a new lower bound for
the {de Bruijn--Newman} constant {$ \Lambda $}",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "1",
pages = "104--111",
year = "1993",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Mon Sep 6 12:28:29 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.1.1993/pp104-111.dir/pp104-111.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Loewenthal:1993:ILS,
author = "Dan Loewenthal",
title = "Improvements on the {Lehmer--Schur} Root Detection
Method",
journal = j-J-COMPUT-PHYS,
volume = "109",
number = "2",
pages = "164--168",
month = dec,
year = "1993",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1006/jcph.1993.1209",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:54:52 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S002199918371209X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Shannon:1993:CGL,
author = "A. G. Shannon and R. S. Melham",
title = "{Carlitz} Generalizations of {Lucas} and {Lehmer}
Sequences",
journal = j-FIB-QUART,
volume = "31",
number = "2",
pages = "105--111",
month = may,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:57 MDT 2011",
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http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-2/shannon.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wenpeng:1993:PDH,
author = "Zhang Wenpeng",
title = "On a problem of {D. H. Lehmer} and its
generalization",
journal = j-COMPOS-MATH,
volume = "86",
number = "3",
pages = "307--316",
year = "1993",
CODEN = "CMPMAF",
ISSN = "0010-437x (print), 1570-5846 (electronic)",
ISSN-L = "0010-437X",
MRclass = "11N69 (11L05)",
MRnumber = "1219630",
MRreviewer = "Jerzy Kaczorowski",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.numdam.org/item?id=CM_1993__86_3_307_0",
acknowledgement = ack-nhfb,
fjournal = "Compositio Mathematica",
}
@Article{Zhang:1993:PDH,
author = "Wen Peng Zhang",
title = "A problem of {D. H. Lehmer} and a generalization of
it",
journal = "J. Northwest Univ.",
volume = "23",
number = "2",
pages = "103--108",
year = "1993",
ISSN = "1000-274X",
MRclass = "11N37 (11L05)",
MRnumber = "1235734",
MRreviewer = "Tian Ze Wang",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
}
@InProceedings{Csordas:1994:LPZ,
author = "George Csordas and Wayne Smith [Wayne Stewart Smith]
and Richard S. Varga",
title = "{Lehmer} pairs of zeros and the {Riemann} $ \xi
$-function",
crossref = "Gautschi:1994:MCH",
pages = "553--556",
year = "1994",
bibdate = "Thu Oct 25 14:53:00 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Ray:1994:LPV,
author = "Gary A. Ray",
title = "A locally parameterized version of {Lehmer}'s
problem",
crossref = "Gautschi:1994:MCH",
pages = "573--576",
year = "1994",
bibdate = "Thu Oct 25 14:53:00 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
}
@Article{Zhang:1994:DBD,
author = "Wen Peng Zhang",
title = "On the difference between a {D. H. Lehmer} number and
its inverse modulo $q$",
journal = j-ACTA-ARITHMETICA,
volume = "68",
number = "3",
pages = "255--263",
year = "1994",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa-68-3-255-263",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1308126",
MRreviewer = "Takeo Funakura",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Zhang:1994:DDH,
author = "Wen Peng Zhang",
title = "The distribution of {D. H. Lehmer} numbers in an
arithmetic progression",
journal = "J. Northwest Univ.",
volume = "24",
number = "6",
pages = "471--474",
year = "1994",
ISSN = "1000-274X",
MRclass = "11N25",
MRnumber = "1342472",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Zhang:1994:PDH,
author = "Wen Peng Zhang",
title = "A problem of {D. H. Lehmer} and its generalization.
{II}",
journal = j-COMPOS-MATH,
volume = "91",
number = "1",
pages = "47--56",
year = "1994",
CODEN = "CMPMAF",
ISSN = "0010-437x (print), 1570-5846 (electronic)",
ISSN-L = "0010-437X",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1273925",
MRreviewer = "Takeo Funakura",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://www.numdam.org/item?id=CM_1994__91_1_47_0",
acknowledgement = ack-nhfb,
fjournal = "Compositio Mathematica",
}
@Article{Jebelean:1995:DDL,
author = "Tudor Jebelean",
title = "A Double-Digit {Lehmer--Euclid} Algorithm for Finding
the {GCD} of Long Integers",
journal = j-J-SYMBOLIC-COMP,
volume = "19",
number = "1/2/3",
pages = "145--158 (or 145--157??)",
month = jan # ", " # feb # ", " # mar,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "11Y16",
MRnumber = "96h:11128",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib",
note = "Design and implementation of symbolic computation
systems (Gmunden, 1993).",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Res. Inst. for Symbolic Comput., Johannes Kepler
Univ., Linz, Austria",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171/",
keywords = "approximative GCD computation; arithmetic;
double-digit Lehmer--Euclid algorithm; GCD; greatest
common divisor; long integers; long multiplications;
mathematics computing; partial cosequence computation;
Special issue on DISCO 1993; symbol manipulation",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Sorenson:1995:ALE,
author = "Jonathan Sorenson",
title = "An analysis of {Lehmer}'s {Euclidean} {GCD}
algorithm",
crossref = "Levelt:1995:IPI",
pages = "254--258",
year = "1995",
DOI = "https://doi.org/10.1145/220346.220378",
bibdate = "Thu Mar 12 08:42:30 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/issac.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p254-sorenson/",
abstract = "Let $u$ and $v$ be positive integers. We show that a
slightly modified version of D. H. Lehmer's greatest
common divisor algorithm will compute $ \gcd (u, v) $
(with $ u > v $ ) using at most $ O((\log {}u \log {}v)
/ k + k \log {}v + \log {}u + k^2) $ bit operations and
$ O(\log {}u + k2^{2k}) $ space, where $k$ is the
number of bits in the multiprecision base of the
algorithm. This is faster than Euclid's algorithm by a
factor that is roughly proportional to $k$. Letting $n$
be the number of bits in $u$ and $v$, and setting $ k =
((\log {}n) / 4) $, we obtain a subquadratic running
time of $ O(n^2 / \log {}n) $ in linear space.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Comput. Sci., Butler Univ.,
Indianapolis, IN, USA",
classification = "C1160 (Combinatorial mathematics); C4260
(Computational geometry)",
keywords = "algebraic computation, Lehmer's Euclidean GCD
algorithm; algorithms; Greatest common divisor
algorithm; ISSAC; Linear space; Multiprecision base;
Positive integers; Subquadratic running time; symbolic
computation; theory; verification",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf F.2.1} Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Number-theoretic
computations.",
thesaurus = "Computational geometry",
}
@Article{Voutier:1995:PDL,
author = "Paul M. Voutier",
title = "Primitive divisors of {Lucas} and {Lehmer} sequences",
journal = j-MATH-COMPUT,
volume = "64",
number = "210",
pages = "869--888",
month = apr,
year = "1995",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11D61 (11B39 11Y50)",
MRnumber = "95f:11022",
MRreviewer = "B. M. M. de Weger",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Deleglise:1996:CML,
author = "M. Del{\'e}glise and J. Rivat",
title = "Computing $ \pi (x) $: the {Meissel}, {Lehmer},
{Lagarias}, {Miller}, {Odlyzko} method",
journal = j-MATH-COMPUT,
volume = "65",
number = "213",
pages = "235--245",
month = jan,
year = "1996",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "11Y35 (11N05 11Y70)",
MRnumber = "96d:11139",
MRreviewer = "Andrew Granville",
bibdate = "Fri Jul 16 10:38:30 MDT 1999",
bibsource = "http://www.ams.org/mcom/1996-65-213;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00674-6&u=/mcom/1996-65-213/",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4240C
(Computational complexity)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "combinatorial mathematics; combinatorial method;
complexity; computational complexity; number of
primes",
treatment = "T Theoretical or Mathematical",
}
@Article{Paplinski:1996:HIL,
author = "A. P. Paplinski and N. Bhattacharjee",
title = "Hardware implementation of the {Lehmer} random number
generator",
journal = j-IEE-PROC-COMPUT-DIGIT-TECH,
volume = "143",
number = "1",
pages = "93--95",
year = "1996",
CODEN = "ICDTEA",
DOI = "https://doi.org/10.1049/ip-cdt:19960100",
ISSN = "1350-2387 (print), 1359-7027 (electronic)",
ISSN-L = "1350-2387",
bibdate = "Mon Jan 16 15:57:34 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://link.aip.org/link/?ICE/143/93/1",
acknowledgement = ack-nhfb,
fjournal = "IEE Proceedings. Computers and Digital Techniques",
keywords = "carry-propagate adder; carry-propagate subtracter;
carry-save adders; fast hardware implementation; Lehmer
random number generator; linear congruential;
multiplication mod M; pseudorandom number generators;
Sylvester resultant matrices",
}
@Article{Wang:1996:DDB,
author = "Hui Wang and Li Gao and Zhi Xing Hu",
title = "The distribution of the difference between the {D. H.
Lehmer} number and its inverse in the primitive roots
modulo $q$",
journal = "J. Northwest Univ.",
volume = "26",
number = "4",
pages = "281--284",
year = "1996",
ISSN = "1000-274X",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1436326",
MRreviewer = "Wen-Bin Zhang",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Wang:1996:DDH,
author = "Hui Wang and Zhi Xing Hu and Li Gao",
title = "The distribution of the {D. H. Lehmer} numbers among
the primitive roots modulo $q$",
journal = "Pure Appl. Math. (Xi'an)",
volume = "12",
number = "2",
pages = "84--88",
year = "1996",
ISSN = "1008-5513",
MRclass = "11N69 (11L05 11N37)",
MRnumber = "1434019",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Pure and Applied Mathematics. Chuncui Shuxue yu
Yingyong Shuxue",
}
@Article{Dyadkin:1997:FEL,
author = "Iosif G. Dyadkin and Kenneth G. Hamilton",
title = "A family of enhanced {Lehmer} random number
generators, with hyperplane suppression, and direct
support for certain physical applications",
journal = j-COMP-PHYS-COMM,
volume = "107",
number = "1--3",
pages = "258--280",
day = "22",
month = dec,
year = "1997",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(97)00101-X",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65C10 86-08 86A20",
bibdate = "Mon Feb 13 21:30:21 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.cpc.cs.qub.ac.uk/cpc/;
http://www.cpc.cs.qub.ac.uk/cpc/cgi-bin/list_summary.pl?CatNumber=ADGW;
http://www.sciencedirect.com/science/article/pii/S001046559700101X",
ZMnumber = "0938.65006",
abstract = "Over two hundred congruential pseudorandom number
generators, each with a different multiplier, are built
into a single assembler routine that returns 32-bit
integer and floating-point values. This gives a Monte
Carlo user the opportunity of selecting a combination
of sequences, so as to provide a greater appearance of
chaos. The software makes use of extended 64-bit
arithmetic on Intel 386/387 (or higher) chips, thus
attaining a period of 262 for each of the individual
generators. The routine also features entry points that
more directly support certain applications, such as
well logging in nuclear geophysics. In addition to the
customary uniform (0,1) ``white noise'' generator, the
package provides values distributed according to the
exponential and Gaussian distributions, random unit
vectors in two and three dimensions, as well as
Klein--Nishina and neutron scattering distributions.",
acknowledgement = ack-nhfb,
annote = "This paper describes a Fortran-callable Intel IA-32
assembly language implementation of a family of 200
pseudo-random number generators, based on earlier work
\cite{Dyadkin:1997:SBM}, with associated routines for
generating several distributions (uniform, exponential,
Gaussian, 2-D and 3-D unit vectors, plus several
specific to physics applications). It contains a good
discussion of randomness-testing procedures, and
comparisons with other algorithms, including the
ziggurat method
\cite{Marsaglia:1984:FEI,Marsaglia:2000:ZMG} used in
Matlab version 5 and later \cite{Moler:2001:CCN}. The
software is available from the CPC Library, for a fee,
and with use restrictions.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "RNLEHMER200 (Intel IA-32 assembly language, 4044
Lines)",
remark = "The authors present a set of 210 good multipliers for
a 64-bit MCG with modulus $ 2^{32} $, and propose
returning the sequence $ \{ R(G[1]), R(G[2]), \ldots,
R(G[210]), \} $, cycling first by generator, and then
by random value, in order to mix up the MCG output.
Alternatively, for further mixing, they can use an
additional multiplier to generate a random generator
index that shuffles the data further. Also, they
compute a 64-bit MCG value, but discard the less-random
lower 32-bits. That produces a sequence of values whose
rightmost (low-order) bit has period $ 2^{31} $, and
the leftmost (high-order) bit has period $ 2^{62} $.",
xxURL = "http://www.cpc.cs.qub.ac.uk/cpc/;
http://www.cpc.cs.qub.ac.uk/cpc/cgi-bin/list_summary.pl?CatNumber=ADGW",
}
@Article{Dyadkin:1997:SBM,
author = "Iosif G. Dyadkin and Kenneth G. Hamilton",
title = "A study of $ 64 $-bit multipliers for {Lehmer}
pseudorandom number generators",
journal = j-COMP-PHYS-COMM,
volume = "103",
number = "2--3",
pages = "103--130",
month = jul,
year = "1997",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(97)00052-0",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65C10",
MRnumber = "98f:65013",
bibdate = "Mon Feb 13 21:30:16 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/marsaglia-george.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465597000520",
ZMnumber = "0980.65007",
abstract = "A study was conducted of multipliers for 64-bit
congruential pseudorandom number generators. Extensive
analysis and testing resulted in the identification of
over $ 200 $ good multipliers of the form $ A = 5^k $,
where $k$ is a prime number. The integer lattice
structure from any single multiplier is so fine that it
is not visible when {\tt REAL*4} values are returned in
up to four dimensions. Known number-theoretic
characteristics of $ m = 2^l $ generators were
exploited to provide a remarkably sensitive new lattice
test, one that is based on analysis of spacings in
several dimensions. That examination led to new methods
that can provide lattice-free pseudorandom streams in
up to 200 dimensions, and with extended period
length.",
acknowledgement = ack-nhfb,
annote = "This is the theoretical work behind the software
\cite{Dyadkin:1997:FEL}. The linear-congruential
generators have multipliers of the form $ A = 5^k \bmod
2^{64} $, where $k$ is a prime number, and testing has
identified more than 200 suitable values of $k$. This
work was later updated for 128-bit arithmetic
\cite{Dyadkin:2000:SBM}.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Filipponi:1997:SFS,
author = "Piero Filipponi",
title = "Summation Formulas for Special {Lehmer} Numbers",
journal = j-FIB-QUART,
volume = "35",
number = "3",
pages = "252--257",
month = aug,
year = "1997",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:38 MDT 2011",
bibsource = "http://www.fq.math.ca/35-3.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/35-3/filipponi.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Carlip:1998:PPN,
author = "W. Carlip and Eliot Jacobson and Lawrence Somer",
title = "Pseudoprimes, Perfect Numbers, and a Problem of
{Lehmer}",
journal = j-FIB-QUART,
volume = "36",
number = "4",
pages = "361--371",
month = aug,
year = "1998",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:02:49 MDT 2011",
bibsource = "http://www.fq.math.ca/36-4.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/36-4/carlip.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Zhao:1998:DDH,
author = "Zhen Zhao and Li Gao",
title = "The distribution of the {D. H. Lehmer} numbers and
their divisibility in primitive roots modulo $n$",
journal = "Pure Appl. Math. (Xi'an)",
volume = "14",
number = "2",
pages = "88--90, 92",
year = "1998",
ISSN = "1008-5513",
MRclass = "11N64",
MRnumber = "1675799",
MRreviewer = "Hong Ze Li",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Pure and Applied Mathematics. Chuncui Shuxue yu
Yingyong Shuxue",
}
@Article{Einsiedler:2000:PSA,
author = "Manfred Einsiedler and Graham Everest and Thomas
Ward",
title = "Primes in sequences associated to polynomials (after
{Lehmer})",
journal = j-LMS-J-COMPUT-MATH,
volume = "3",
pages = "125--139",
year = "2000",
CODEN = "????",
DOI = "https://doi.org/10.1112/S1461157000000255",
ISSN = "1461-1570",
ISSN-L = "1461-1570",
MRclass = "11C08 (11A51)",
MRnumber = "2002a:11017",
MRreviewer = "D. Boyd",
bibdate = "Fri Nov 29 08:13:48 2002",
bibsource = "http://journals.cambridge.org/action/displayJournal?jid=JCM;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/lms-j-comput-math.bib",
URL = "http://www.lms.ac.uk/jcm/3/lms2000-004/",
acknowledgement = ack-nhfb,
ajournal = "LMS J. Comput. Math.",
fjournal = "LMS Journal of Computation and Mathematics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=JCM",
onlinedate = "01 February 2010",
}
@Article{Gao:2000:DPD,
author = "Li Gao and Zhen Zhao and Hui Wang",
title = "The distribution property of {D. H. Lehmer} numbers",
journal = "J. Zhengzhou Univ. Nat. Sci. Ed.",
volume = "32",
number = "1",
pages = "12--15",
year = "2000",
ISSN = "1671-6841",
MRclass = "11N37 (11L05)",
MRnumber = "1774810",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Zhengzhou University. Natural Science
Edition. Zhengzhou Daxue Xuebao. Lixue Ban",
}
@Article{Deng:2001:GDH,
author = "Yu Ping Deng and Wen Peng Zhang",
title = "A generalization of {D. H. Lehmer}'s problem",
journal = "J. Northwest Univ.",
volume = "31",
number = "4",
pages = "277--280",
year = "2001",
ISSN = "1000-274X",
MRclass = "11N37 (11L05)",
MRnumber = "1860250",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Northwest University. Natural Science
Edition. Xibei Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Gao:2001:CRD,
author = "Li Gao and Zhen Zhao",
title = "Congruence relations of {D. H. Lehmer} numbers in the
residues system of modulo $p$",
journal = "J. Jishou Univ. Nat. Sci. Ed.",
volume = "22",
number = "3",
pages = "69--72",
year = "2001",
ISSN = "1007-2985",
MRclass = "11A07",
MRnumber = "1873900",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Jishou University. Journal. Natural Science Edition.
Jishou Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Gao:2001:DDB,
author = "Li Gao and Zhen Zhao",
title = "Distribution of the difference between {D. H. Lehmer}
numbers and their inverses",
journal = "J. Jishou Univ. Nat. Sci. Ed.",
volume = "22",
number = "1",
pages = "56--58",
year = "2001",
ISSN = "1007-2985",
MRclass = "11L05",
MRnumber = "1828660",
MRreviewer = "Zun Shan",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Jishou University. Journal. Natural Science Edition.
Jishou Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Hironaka:2001:LPP,
author = "Eriko Hironaka",
title = "The {Lehmer} Polynomial and Pretzel Links",
journal = j-CAN-MATH-BULL,
volume = "44",
number = "4",
pages = "440--451",
month = dec,
year = "2001",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2001-044-x",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:17:01 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v44/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
note = "See erratum \cite{Hironaka:2002:ELP}.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@InProceedings{Sedjelmaci:2001:PLE,
author = "Sidi Mohammed Sedjelmaci",
title = "On a parallel {Lehmer--Euclid GCD} algorithm",
crossref = "Mourrain:2001:IJU",
pages = "303--308",
year = "2001",
bibdate = "Wed May 15 14:28:03 MDT 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/issac.bib",
acknowledgement = ack-nhfb,
}
@Book{Brillhart:2002:FHP,
author = "John Brillhart and D. H. Lehmer and J. L. Selfridge
and Bryant Tuckerman and S. S. {Wagstaff, Jr.}",
title = "Factorizations of $ b^n \pm 1 $, $ b = 2, 3, 5, 6, 7,
10, 11, 12 $ up to high powers",
volume = "22",
publisher = pub-AMS,
address = pub-AMS:adr,
edition = "Third",
pages = "????",
year = "2002",
ISBN = "????",
ISBN-13 = "????",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA161.F3 F33 2002",
bibdate = "Sat Mar 10 10:18:16 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
series = "Contemporary mathematics",
acknowledgement = ack-nhfb,
remark = "Factorizations of the form in the title are of
interest for simplifying computations in the
determination of optimal parameters for linear and
multiplicative congruential generators.",
remark-2 = "I cannot find this in most library catalogs, or at the
publisher Web site, or in the MathSciNet database. No
ISBN or page count can be found either.",
subject = "factors (algebra); tables",
}
@Article{Gao:2002:CPL,
author = "Li Gao and Zhen Zhao",
title = "On the congruence property of {Lehmer, D. H.}
numbers",
journal = "Natur. Sci. J. Harbin Normal Univ.",
volume = "18",
number = "5",
pages = "13--16",
year = "2002",
ISSN = "1000-5617",
MRclass = "11A07",
MRnumber = "1971231",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Natural Science Journal of Harbin Normal University.
Harbin Shifan Daxue Ziran Kexue Xuebao",
}
@Article{Hironaka:2002:ELP,
author = "Eriko Hironaka",
title = "Erratum: {``The Lehmer Polynomial and Pretzel
Links''}",
journal = j-CAN-MATH-BULL,
volume = "45",
number = "2",
pages = "231--231",
month = jun,
year = "2002",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-2002-026-7",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Mon Nov 5 15:18:58 MST 2012",
bibsource = "http://cms.math.ca/cmb/v45/;
http://cms.math.ca/cmb/v45/n2;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
note = "See \cite{Hironaka:2001:LPP}.",
abstract = "Erratum to $ T h e L e h m e r P o l y n o m i a l a n
d P r e t z e l L i n k s $, Canad. J. Math. {\bf 44}
(2001), 440--451.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de
Math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Yuan:2002:GPD,
author = "Yi Yuan and Zhang Wenpeng",
title = "On the generalization of a problem of {D. H. Lehmer}",
journal = "Kyushu J. Math.",
volume = "56",
number = "2",
pages = "235--241",
year = "2002",
DOI = "https://doi.org/10.2206/kyushujm.56.235",
ISSN = "1340-6116",
MRclass = "11N69",
MRnumber = "1934124",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Kyushu Journal of Mathematics",
}
@Article{Gao:2003:DDH,
author = "Li Gao",
title = "Distribution of the {D. H. Lehmer} number of primitive
roots modulo $p$",
journal = "Natur. Sci. J. Harbin Normal Univ.",
volume = "19",
number = "2",
pages = "21--22",
year = "2003",
ISSN = "1000-5617",
MRclass = "11L07 (11L05)",
MRnumber = "2086818",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Natural Science Journal of Harbin Normal University.
Harbin Shifan Daxue Ziran Kexue Xuebao",
}
@Article{Luca:2003:MGG,
author = "Florian Luca and {\v{S}}tefan Porubsk{\'y}",
title = "The Multiplicative Group Generated by the {Lehmer}
Numbers",
journal = j-FIB-QUART,
volume = "41",
number = "2",
pages = "122--132",
month = may,
year = "2003",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:03:45 MDT 2011",
bibsource = "http://www.fq.math.ca/41-2.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/41-2/luca.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Wenpeng:2003:PDH,
author = "Zhang Wenpeng",
title = "On a problem of {D. H. Lehmer} and {Kloosterman}
sums",
journal = j-MONAT-MATH,
volume = "139",
number = "3",
pages = "247--257",
year = "2003",
CODEN = "MNMTA2",
DOI = "https://doi.org/10.1007/s00605-002-0529-5",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
ISSN-L = "0026-9255",
MRclass = "11L05",
MRnumber = "1994384",
MRreviewer = "Moubariz Z. Garaev",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik",
journal-URL = "http://link.springer.com/journal/605",
}
@Article{Yi:2003:GLD,
author = "Yuan Yi and Wen-peng Zhang",
title = "On generalization of {Lehmer, D. H.} problem",
journal = "Gongcheng Shuxue Xuebao",
volume = "20",
number = "1",
pages = "60--64",
year = "2003",
ISSN = "1005-3085",
MRclass = "11L07 (11N69)",
MRnumber = "1975320",
MRreviewer = "Charles Helou",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Gongcheng Shuxue Xuebao. Chinese Journal of
Engineering Mathematics",
}
@Article{Zhang:2003:PDHa,
author = "Wenpeng Zhang",
title = "A problem of {D. H. Lehmer} and its mean square value
formula",
journal = j-JAPAN-J-MATH-N-S,
volume = "29",
number = "1",
pages = "109--116",
year = "2003",
DOI = "https://doi.org/10.4099/math1924.29.109",
ISSN = "0289-2316",
MRclass = "11N37 (11N69)",
MRnumber = "1986866",
MRreviewer = "Wenguang Zhai",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Japanese Journal of Mathematics. New Series",
}
@Article{Zhang:2003:PDHb,
author = "Wenpeng Zhang and Xu Zongben and Yi Yuan",
title = "A problem of {D. H. Lehmer} and its mean square value
formula",
journal = j-J-NUMBER-THEORY,
volume = "103",
number = "2",
pages = "197--213",
month = dec,
year = "2003",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/S0022-314X(03)00113-6",
ISSN = "0022-314x (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
MRclass = "11L07 (11N25)",
MRnumber = "2020268",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X03001136",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Daireaux:2004:DAP,
author = "Beno{\^i}t Daireaux and Brigitte Vall{\'e}e",
title = "Dynamical Analysis of the Parametrized
{Lehmer--Euclid} Algorithm",
journal = j-COMBIN-PROBAB-COMPUT,
volume = "13",
number = "4--5",
pages = "499--536",
month = jul,
year = "2004",
CODEN = "CPCOFG",
DOI = "https://doi.org/10.1017/S0963548304006261",
ISSN = "0963-5483 (print), 1469-2163 (electronic)",
ISSN-L = "0963-5483",
bibdate = "Mon Jul 7 19:40:22 MDT 2008",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/combinprobabcomput.bib",
URL = "http://journals.cambridge.org/action/displayIssue?jid=CPC&volumeId=13&issueId=04",
acknowledgement = ack-nhfb,
ajournal = "Combin. Probab. Comput.",
fjournal = "Combinatorics, Probability and Computing",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=CPC",
}
@Article{Gao:2004:DPL,
author = "Li Gao",
title = "On the distribution property of {Lehmer, D. H.}
number",
journal = "Chinese Quart. J. Math.",
volume = "19",
number = "1",
pages = "75--78",
year = "2004",
ISSN = "1002-0462",
MRclass = "11N69 (11L05)",
MRnumber = "2080053",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Chinese Quarterly Journal of Mathematics. Shuxue
Jikan",
}
@Article{Gao:2004:GDD,
author = "Li Gao",
title = "A generalization of the distribution of the {D. H.
Lehmer} numbers",
journal = "J. Tianjin Norm. Univ. Nat. Sci. Ed.",
volume = "24",
number = "2",
pages = "38--41",
year = "2004",
ISSN = "1671-1114",
MRclass = "11N64 (11L05 11L07)",
MRnumber = "2080988",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Tianjin Normal University. Natural Science
Edition. Tianjin Shifan Daxue Xuebao. Ziran Kexue Ban",
}
@InCollection{Jones:2004:ETD,
author = "Lenny Jones",
booktitle = "Number theory",
title = "An extension of a theorem of {D. H. Lehmer}",
volume = "36",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "165--176",
year = "2004",
MRclass = "11D59 (11B37)",
MRnumber = "2076592",
MRreviewer = "Yuri Bilu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "CRM Proc. Lecture Notes",
acknowledgement = ack-nhfb,
}
@Article{Zhang:2004:PDH,
author = "Wen Peng Zhang",
title = "On a problem of {D. H. Lehmer} and general
{Kloosterman} sums",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "20",
number = "3",
pages = "515--524",
year = "2004",
DOI = "https://doi.org/10.1007/s10114-004-0329-z",
ISSN = "1439-8516",
MRclass = "11N69 (11L07)",
MRnumber = "2084715",
MRreviewer = "S. W. Graham",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
}
@Article{You:2005:GPD,
author = "Qi Ying You",
title = "A generalization of a problem of {D. H. Lehmer}",
journal = "Basic Sci. J. Text. Univ.",
volume = "18",
number = "1",
pages = "39--42",
year = "2005",
ISSN = "1006-8341",
MRclass = "11L07",
MRnumber = "2144018",
MRreviewer = "Wenguang Zhai",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Basic Sciences Journal of Textile Universities.
Fangzhi Gaoxiao Jichu Kexue Xuebao",
}
@Article{Jaroma:2006:PTP,
author = "John H. Jaroma",
title = "On primes and terms of prime or $ 2^k $ index in the
{Lehmer} sequences",
journal = j-FIB-QUART,
volume = "44",
number = "3",
pages = "202--208",
month = aug,
year = "2006",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:04:14 MDT 2011",
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http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/44-3/jaroma.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Liu:2006:PDH,
author = "Hua Ning Liu and Wen Peng Zhang",
title = "On a problem of {D. H. Lehmer}",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "22",
number = "1",
pages = "61--68",
year = "2006",
DOI = "https://doi.org/10.1007/s10114-004-0464-6",
ISSN = "1439-8516",
MRclass = "11N37 (11N69)",
MRnumber = "2200600",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
}
@Article{Weili:2006:GDH,
author = "Yao Weili",
title = "On the generalization of the {D. H. Lehmer} problem
and its mean value",
journal = "JP J. Algebra Number Theory Appl.",
volume = "6",
number = "3",
pages = "479--491",
year = "2006",
ISSN = "0972-5555",
MRclass = "11N69 (11M20)",
MRnumber = "2284511",
MRreviewer = "Arnaud Chadozeau",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "JP Journal of Algebra, Number Theory and
Applications",
}
@Article{Xu:2006:PDH,
author = "Zhefeng Xu and Wenpeng Zhang",
title = "On a problem of {D. H. Lehmer} over short intervals",
journal = j-J-MATH-ANAL-APPL,
volume = "320",
number = "2",
pages = "756--770",
year = "2006",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/j.jmaa.2005.07.054",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "11N69 (11M20)",
MRnumber = "2225991",
MRreviewer = "Arnaud Chadozeau",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
}
@Article{Ghioca:2007:LIM,
author = "Dragos Ghioca",
title = "The {Lehmer} inequality and the {Mordell--Weil}
theorem for {Drinfeld} modules",
journal = j-J-NUMBER-THEORY,
volume = "122",
number = "1",
pages = "37--68",
month = jan,
year = "2007",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2006.03.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:21 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X06000680",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Ghioca:2007:LLI,
author = "Dragos Ghioca",
title = "The local {Lehmer} inequality for {Drinfeld} modules",
journal = j-J-NUMBER-THEORY,
volume = "123",
number = "2",
pages = "426--455",
month = apr,
year = "2007",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2006.07.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:23 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X06001685",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Liu:2007:HMVa,
author = "Huaning Liu and Wenpeng Zhang",
title = "Hybrid mean value for a generalization of a problem of
{D. H. Lehmer}",
journal = j-ACTA-ARITHMETICA,
volume = "130",
number = "1",
pages = "1--17",
year = "2007",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa130-1-1",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11L05 (11F20 11L07)",
MRnumber = "2354146",
MRreviewer = "Ioulia N. Baoulina",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Liu:2007:HMVb,
author = "Huaning Liu and Wenpeng Zhang",
title = "Hybrid mean value results for a generalization on a
problem of {D. H. Lehmer} and hyper-{Kloosterman}
sums",
journal = "Osaka J. Math.",
volume = "44",
number = "3",
pages = "615--637",
year = "2007",
ISSN = "0030-6126",
MRclass = "11L05",
MRnumber = "2360943",
MRreviewer = "Guillaume Ricotta",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.ojm/1189717425",
acknowledgement = ack-nhfb,
fjournal = "Osaka Journal of Mathematics",
}
@Article{Liu:2007:PDH,
author = "Huaning Liu",
title = "On a problem of {D. H. Lehmer} and hyper-{Kloosterman}
sums",
journal = "Adv. Math. (China)",
volume = "36",
number = "2",
pages = "245--252",
year = "2007",
ISSN = "1000-0917",
MRclass = "11L05",
MRnumber = "2362739",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Advances in Mathematics (China). Shuxue Jinzhan",
}
@Article{Louboutin:2007:PDH,
author = "St{\'e}phane R. Louboutin and Jo{\"e}l Rivat and
Andr{\'a}s S{\'a}rk{\"o}zy",
title = "On a problem of {D. H. Lehmer}",
journal = j-PROC-AM-MATH-SOC,
volume = "135",
number = "4",
pages = "969--975",
year = "2007",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.1090/S0002-9939-06-08558-3",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "11K45 (11L05 11L40)",
MRnumber = "2262896",
MRreviewer = "M. Mend\`es France",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
}
@Article{Murty:2007:VLC,
author = "V. Kumar Murty",
title = "A variant of {Lehmer}'s conjecture",
journal = j-J-NUMBER-THEORY,
volume = "123",
number = "1",
pages = "80--91",
month = mar,
year = "2007",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2006.06.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:22 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X06001314",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Bonciocat:2008:CLP,
author = "Nicolae Ciprian Bonciocat",
title = "Congruences and {Lehmer}'s Problem",
journal = j-INT-J-NUMBER-THEORY,
volume = "4",
number = "4",
pages = "587--596",
month = aug,
year = "2008",
DOI = "https://doi.org/10.1142/S1793042108001547",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:17 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042108001547",
abstract = "We obtain explicit lower bounds for the Mahler measure
for nonreciprocal polynomials with integer coefficients
satisfying certain congruences.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Corry:2008:FMS,
author = "Leo Corry",
title = "{Fermat} Meets {SWAC}: {Vandiver}, the {Lehmers},
Computers, and Number Theory",
journal = j-IEEE-ANN-HIST-COMPUT,
volume = "30",
number = "1",
pages = "38--49",
month = jan # "\slash " # mar,
year = "2008",
CODEN = "IAHCEX",
DOI = "https://doi.org/10.1109/MAHC.2008.6",
ISSN = "1058-6180 (print), 1934-1547 (electronic)",
ISSN-L = "1058-6180",
bibdate = "Thu Jul 3 10:46:12 MDT 2008",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/ieeeannhistcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Annals of the History of Computing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=85",
}
@Article{David:2008:PLA,
author = "Sinnou David and Am{\'i}lcar Pacheco",
title = "Le probl{\`e}me de {Lehmer} ab{\'e}lien pour un module
de {Drinfel'd}. ({French}) [{The} {Lehmer} abelien
problem for a {Drinfel'd} module]",
journal = j-INT-J-NUMBER-THEORY,
volume = "4",
number = "6",
pages = "1043--1067",
month = dec,
year = "2008",
DOI = "https://doi.org/10.1142/S1793042108001870",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:18 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042108001870",
abstract = "Let \varphi be a Drinfel'd module defined over a
finite extension K of {$ \mathbb {F} $}$_q$ (T); we
establish a uniform lower bound for the canonical
height of a point of \varphi, rational over the maximal
abelian extension of K, and thus solve the so-called
abelian version of the Lehmer problem in this
situation. The classical original problem (a non
torsion point in {$ \mathbb {G} $}$_m$ ({$ \mathbb
{Q}$}$^{ab}$)) was solved by Amoroso and Dvornicich
[1]. Soit \varphi un module de Drinfel'd d{\'e}fini sur
une extension finie K de {$ \mathbb {F} $}$_q$ (T);
nous d{\'e}montrons une minoration uniforme pour la
hauteur canonique d'un point de \varphi, rationnel sur
l'extension ab{\'e}lienne maximale de K, et
r{\'e}solvons ainsi la version dite ab{\'e}lienne du
probl{\`e}me de Lehmer dans cette situation. Dans le
cadre classique (un point d'ordre infini de {$ \mathbb
{G} $}$_m$ ({$ \mathbb {Q}$}$^{ab}$)), cette question a
{\'e}t{\'e} r{\'e}solue par Amoroso et Dvornicich dans
[1].",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
language = "French",
}
@Article{Liu:2008:PDH,
author = "Huaning Liu and Cundian Yang",
title = "On a problem of {D. H. Lehmer} and pseudorandom binary
sequences",
journal = "{Bull. Braz. Math. Soc. (N.S.)}",
volume = "39",
number = "3",
pages = "387--399",
year = "2008",
DOI = "https://doi.org/10.1007/s00574-008-0012-6",
ISSN = "1678-7544",
MRclass = "11K45 (11A07)",
MRnumber = "2473854",
MRreviewer = "Shea-Ming Oon",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Brazilian Mathematical Society. New
Series. Boletim da Sociedade Brasileira de
Matem\'{a}tica",
}
@Article{Weili:2008:HDD,
author = "Yao Weili",
title = "On the hyper-dimensional {D. H. Lehmer} problem and
its mean value",
journal = "JP J. Algebra Number Theory Appl.",
volume = "10",
number = "2",
pages = "169--183",
year = "2008",
ISSN = "0972-5555",
MRclass = "11A07",
MRnumber = "2451314",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "JP Journal of Algebra, Number Theory and
Applications",
}
@Article{Xu:2008:PDH,
author = "Zhefeng Xu and Wenpeng Zhang",
title = "A problem of {D. H. Lehmer} and its mean value",
journal = j-MATH-NACHR,
volume = "281",
number = "4",
pages = "596--606",
year = "2008",
CODEN = "MTMNAQ",
DOI = "https://doi.org/10.1002/mana.200510628",
ISSN = "0025-584X",
MRclass = "11N69 (11M20)",
MRnumber = "2404302",
MRreviewer = "Arnaud Chadozeau",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematische Nachrichten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1522-2616",
}
@Article{Cao:2009:NSC,
author = "Hui-Qin Cao and Hao Pan",
title = "Note on some congruences of {Lehmer}",
journal = j-J-NUMBER-THEORY,
volume = "129",
number = "8",
pages = "1813--1819",
month = aug,
year = "2009",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2009.02.014",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:37 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X09000791",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Flatters:2009:PDS,
author = "Anthony Flatters",
title = "Primitive divisors of some {Lehmer--Pierce}
sequences",
journal = j-J-NUMBER-THEORY,
volume = "129",
number = "1",
pages = "209--219",
month = jan,
year = "2009",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2008.05.008",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:33 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X08001224",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Liu:2009:NLT,
author = "Huaning Liu",
title = "A note on {Lehmer} $k$-tuples",
journal = j-INT-J-NUMBER-THEORY,
volume = "5",
number = "7",
pages = "1169--1178",
month = nov,
year = "2009",
DOI = "https://doi.org/10.1142/S1793042109002626",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:01:21 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042109002626",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Lu:2009:GDH,
author = "Ya Ming Lu and Yuan Yi",
title = "On the generalization of the {D. H. Lehmer} problem",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "25",
number = "8",
pages = "1269--1274",
year = "2009",
DOI = "https://doi.org/10.1007/s10114-009-7652-3",
ISSN = "1439-8516",
MRclass = "11L05 (11L07 11N56)",
MRnumber = "2524947",
MRreviewer = "Roma Ka\v{c}inskait\.{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
}
@Article{Ren:2009:APF,
author = "Gang Lian Ren",
title = "Asymptotic property of a $k$-free {D. H. Lehmer}
number",
journal = "Math. Pract. Theory",
volume = "39",
number = "20",
pages = "139--142",
year = "2009",
ISSN = "1000-0984",
MRclass = "11L05",
MRnumber = "2640858",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian
yu Renshi",
}
@Article{Xu:2009:DHL,
author = "Zhefeng Xu",
title = "{D. H. Lehmer} problem over half intervals",
journal = "J. Korean Math. Soc.",
volume = "46",
number = "3",
pages = "493--511",
year = "2009",
DOI = "https://doi.org/10.4134/JKMS.2009.46.3.493",
ISSN = "0304-9914",
MRclass = "11N37",
MRnumber = "2515132",
MRreviewer = "Hong Bing Yu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Korean Mathematical Society",
}
@Article{Yuan:2009:GDH,
author = "Yi Yuan and Hou Yiwei",
title = "On a generalization of {D. H. Lehmer} problem",
journal = "JP J. Algebra Number Theory Appl.",
volume = "14",
number = "1",
pages = "37--50",
year = "2009",
ISSN = "0972-5555",
MRclass = "11L05 (11N37)",
MRnumber = "2548438",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "JP Journal of Algebra, Number Theory and
Applications",
}
@Article{Zhang:2009:HKS,
author = "Tianping Zhang and Xifeng Xue",
title = "On the $r$-th hyper-{Kloosterman} sums and a problem
of {D. H. Lehmer}",
journal = "J. Korean Math. Soc.",
volume = "46",
number = "4",
pages = "733--746",
year = "2009",
DOI = "https://doi.org/10.4134/JKMS.2009.46.4.733",
ISSN = "0304-9914",
MRclass = "11L05 (11L40)",
MRnumber = "2532882",
MRreviewer = "Antonio Rojas Le\'{o}n",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Korean Mathematical Society",
}
@Article{Bannai:2010:TMD,
author = "Eiichi Bannai and Tsuyoshi Miezaki",
title = "Toy models for {D. H. Lehmer}'s conjecture",
journal = "J. Math. Soc. Japan",
volume = "62",
number = "3",
pages = "687--705",
year = "2010",
ISSN = "0025-5645",
MRclass = "11F27 (05B30 11F30)",
MRnumber = "2648059",
MRreviewer = "Matthias Sch{\"u}tt",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
URL = "http://projecteuclid.org/euclid.jmsj/1280496816",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Mathematical Society of Japan",
}
@Article{Bullynck:2010:SEC,
author = "Maarten Bullynck and Liesbeth {De Mol}",
title = "Setting-up early computer programs: {D. H. Lehmer}'s
{ENIAC} computation",
journal = "Arch. Math. Logic",
volume = "49",
number = "2",
pages = "123--146",
year = "2010",
DOI = "https://doi.org/10.1007/s00153-009-0169-8",
ISSN = "0933-5846",
MRclass = "01A60 (11-04 11N36 11Y16 68-03)",
MRnumber = "2592049",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Archive for Mathematical Logic",
}
@Article{Deschamps:2010:BVI,
author = "Bruno Deschamps",
title = "Sur les bonnes valeurs initiales de la suite de
{Lucas--Lehmer}. ({French}) [{On} good initial values
for the {Lucas--Lehmer} sequence]",
journal = j-J-NUMBER-THEORY,
volume = "130",
number = "12",
pages = "2658--2670",
month = dec,
year = "2010",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2010.06.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:45 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X10001800",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
language = "French",
}
@Article{Dyson:2010:LIS,
author = "F. J. Dyson and N. E. Frankel and M. L. Glasser",
title = "{Lehmer}'s Interesting Series",
journal = "arxiv.org",
volume = "??",
number = "??",
pages = "1--14",
day = "22",
month = sep,
year = "2010",
bibdate = "Sun Aug 25 14:51:45 2013",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/pi.bib",
URL = "http://arxiv.org/abs/1009.4274",
abstract = "The series { $$ S_k(z) = \sum_{m = 1}^{\infty } \frac
{m^kz^m}{(\begin {array}{c} 2m m \end {array})} $$} is
evaluated in non-recursive closed and analytically
continued beyond its domain of convergence $ 0 \le |z|
< 4 $ for $ k = 0, 1, 2, \ldots {} $. From this we
provide a firm basis for Lehmer's observation that $
\pi $ emerges from the limiting behavior of {$ S_k(2)
$} as $ k \rightarrow \infty $.",
acknowledgement = ack-nhfb,
author-dates = "Freeman Dyson (15 December 1923--28 February 2020)",
}
@Article{Lu:2010:GDH,
author = "Yaming Lu and Yuan Yi",
title = "On the generalization of the {D. H. Lehmer} problem.
{II}",
journal = j-ACTA-ARITHMETICA,
volume = "142",
number = "2",
pages = "179--186",
year = "2010",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa142-2-7",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11N69",
MRnumber = "2601059",
MRreviewer = "Roma Ka\v{c}inskait\.{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Lu:2010:PID,
author = "Yaming Lu and Yuan Yi",
title = "Partitions involving {D. H. Lehmer} numbers",
journal = j-MONAT-MATH,
volume = "159",
number = "1-2",
pages = "45--58",
year = "2010",
CODEN = "MNMTA2",
DOI = "https://doi.org/10.1007/s00605-008-0049-z",
ISSN = "0026-9255 (print), 1436-5081 (electronic)",
ISSN-L = "0026-9255",
MRclass = "11P55 (11L05)",
MRnumber = "2564387",
MRreviewer = "Roma Ka\v{c}inskait\.{e}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Monatshefte f{\"u}r Mathematik",
journal-URL = "http://link.springer.com/journal/605",
}
@Article{Murty:2010:ELC,
author = "M. Ram Murty and N. Saradha",
title = "{Euler--Lehmer} constants and a conjecture of
{Erd{\H{o}}s}",
journal = j-J-NUMBER-THEORY,
volume = "130",
number = "12",
pages = "2671--2682",
month = dec,
year = "2010",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2010.07.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:45 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X10001836",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Zhang:2010:MVR,
author = "Wenpeng Zhang and Zhaoxia Wu",
title = "A mean value related to the {D. H. Lehmer} problem and
{Kloosterman} sums",
journal = j-ACTA-ARITHMETICA,
volume = "143",
number = "3",
pages = "291--298",
year = "2010",
CODEN = "AARIA9",
DOI = "https://doi.org/10.4064/aa143-3-8",
ISSN = "0065-1036 (print), 1730-6264 (electronic)",
ISSN-L = "0065-1036",
MRclass = "11L05 (11M20)",
MRnumber = "2652582",
MRreviewer = "Y.-F. S. P\'{e}termann",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Arithmetica",
journal-URL = "https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all",
}
@Article{Gun:2011:VLC,
author = "Sanoli Gun and V. Kumar Murty",
title = "A variant of {Lehmer}'s conjecture, {II}: the
{CM}-case",
journal = j-CAN-J-MATH,
volume = "63",
number = "2",
pages = "298--326",
month = apr,
year = "2011",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2011-002-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "11F11 (11F30)",
MRnumber = "2809058",
bibdate = "Sat Sep 10 15:39:17 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v63/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath.bib;
http://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "Let f be a normalized Hecke eigenform with rational
integer Fourier coefficients. It is an interesting
question to know how often an integer n has a factor
common with the n-th Fourier coefficient of f. It has
been shown in previous papers that this happens very
often. In this paper, we give an asymptotic formula for
the number of integers n for which (n, a(n)) = 1, where
a(n) is the n-th Fourier coefficient of a normalized
Hecke eigenform f of weight 2 with rational integer
Fourier coefficients and having complex
multiplication.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Guo:2011:MVD,
author = "Xiao Yan Guo",
title = "Mean value of the {D. H. Lehmer} problem in short
intervals",
journal = "J. Shandong Univ. Nat. Sci.",
volume = "46",
number = "12",
pages = "76--82, 87",
year = "2011",
ISSN = "1671-9352",
MRclass = "11L07 (11N37)",
MRnumber = "2919778",
MRreviewer = "Xiumin Ren",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Shandong University. Natural Science.
Shandong Daxue Xuebao. Lixue Ban",
}
@Article{Guo:2011:PBS,
author = "Xiao Yan Guo",
title = "Pseudorandom binary sequences constructed by a
generalized {D. H. Lehmer} problem",
journal = "J. Jilin Univ. Sci.",
volume = "49",
number = "1",
pages = "47--50",
year = "2011",
ISSN = "1671-5489",
MRclass = "11K45 (11L03)",
MRnumber = "2791791",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Jilin University. Science Edition. Jilin
Daxue Xuebao. Lixue Ban",
}
@Article{Wang:2011:SDI,
author = "Miao-Kun Wang and Yu-Ming Chu and Gen-Di Wang",
title = "A Sharp Double Inequality Between the {Lehmer} and
Arithmetic--Geometric Means",
journal = j-PAC-J-APPL-MATH,
volume = "3",
number = "4",
pages = "281--286",
month = "????",
year = "2011",
ISSN = "1941-3963",
MRclass = "26E60",
MRnumber = "3024759",
bibdate = "Wed Mar 15 07:14:39 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/agm.bib",
URL = "https://www.novapublishers.com/catalog/product_info.php?products_id=24770",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Applied Mathematics",
journal-URL = "http://www.novapublishers.com/catalog/product_info.php?products_id=6697",
}
@Article{Xi:2011:GDH,
author = "Ping Xi and Yuan Yi",
title = "Generalized {D. H. Lehmer} problem over short
intervals",
journal = j-GLASG-MATH-J,
volume = "53",
number = "2",
pages = "293--299",
year = "2011",
DOI = "https://doi.org/10.1017/S0017089510000704",
ISSN = "0017-0895 (print), 1469-509x (electronic)",
ISSN-L = "0017-0895",
MRclass = "11N37 (11L05)",
MRnumber = "2783158",
MRreviewer = "Jie Wu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Glasgow Mathematical Journal",
}
@Article{Chu:2012:OLM,
author = "Y.-M. Chu and M.-K. Wang and Y.-F. Qiu",
title = "Optimal {Lehmer} mean bounds for the geometric and
arithmetic combinations of arithmetic and {Seiffert}
means",
journal = "Azerb. J. Math.",
volume = "2",
number = "1",
pages = "3--9",
year = "2012",
ISSN = "2218-6816",
MRclass = "26E60 (26D99)",
MRnumber = "2967278",
MRreviewer = "P{\'a}l Burai",
bibdate = "Tue Aug 15 09:24:34 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
fjournal = "Azerbaijan Journal of Mathematics",
}
@Article{Taylor:2012:LCM,
author = "Graeme Taylor",
title = "{Lehmer}'s conjecture for matrices over the ring of
integers of some imaginary quadratic fields",
journal = j-J-NUMBER-THEORY,
volume = "132",
number = "4",
pages = "590--607",
month = apr,
year = "2012",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2011.09.006",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:48:52 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X11002289",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Wang:2012:SDI,
author = "Miao-Kun Wang and Yu-Ming Chu and Gen-Di Wang",
title = "A Sharp Double Inequality Between the {Lehmer} and
Arithmetic--Geometric Means",
journal = j-PAC-J-APPL-MATH,
volume = "4",
number = "1",
pages = "1--25",
year = "2012",
ISSN = "1941-3963",
MRclass = "26E60 (26D07)",
MRnumber = "3027346",
bibdate = "Wed Mar 15 07:16:27 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/agm.bib",
acknowledgement = ack-nhfb,
fjournal = "Pacific Journal of Applied Mathematics",
journal-URL = "http://www.novapublishers.com/catalog/product_info.php?products_id=6697",
}
@Article{Zhang:2012:MVR,
author = "Wenpeng Zhang",
title = "A mean value related to {D. H. Lehmer}'s problem and
the {Ramanujan}'s sum",
journal = j-GLASG-MATH-J,
volume = "54",
number = "1",
pages = "155--162",
year = "2012",
DOI = "https://doi.org/10.1017/S0017089511000498",
ISSN = "0017-0895 (print), 1469-509x (electronic)",
ISSN-L = "0017-0895",
MRclass = "11N69 (11F20 11L40 11M20)",
MRnumber = "2862393",
MRreviewer = "Djordje Mili\'{c}evi\'{c}",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Glasgow Mathematical Journal",
}
@InCollection{Bannai:2013:TMD,
author = "Eiichi Bannai and Tsuyoshi Miezaki",
booktitle = "Quadratic and higher degree forms",
title = "Toy models for {D. H. Lehmer}'s conjecture {II}",
volume = "31",
publisher = pub-SV,
address = pub-SV:adr,
pages = "1--27",
year = "2013",
DOI = "https://doi.org/10.1007/978-1-4614-7488-3_1",
MRclass = "11F03 (05B30 11R04)",
MRnumber = "3156552",
MRreviewer = "Chang Heon Kim",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
series = "Dev. Math.",
acknowledgement = ack-nhfb,
}
@Article{Dyson:2013:LIS,
author = "Freeman J. Dyson and Norman E. Frankel and M. Lawrence
Glasser",
title = "{Lehmer}'s Interesting Series",
journal = j-AMER-MATH-MONTHLY,
volume = "120",
number = "2",
pages = "116--130",
month = feb,
year = "2013",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.4169/amer.math.monthly.120.02.116",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "05A15 (11B68)",
MRnumber = "3029937",
bibdate = "Fri Aug 23 13:03:20 2013",
bibsource = "http://www.jstor.org/journals/00029890.html;
http://www.jstor.org/stable/10.4169/amermathmont.120.issue-02;
http://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib",
URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.120.02.116;
http://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.120.02.116.pdf",
acknowledgement = ack-nhfb,
author-dates = "Freeman Dyson (15 December 1923--28 February 2020)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Fili:2013:ODS,
author = "Paul Fili and Zachary Miner",
title = "Orthogonal decomposition of the space of algebraic
numbers and {Lehmer}'s problem",
journal = j-J-NUMBER-THEORY,
volume = "133",
number = "11",
pages = "3941--3981",
month = nov,
year = "2013",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2013.05.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:03 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1300156X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Granger:2013:CSA,
author = "Robert Granger",
title = "Could, or {\em should}, the ancient {Greeks} have
discovered the {Lucas--Lehmer} test?",
journal = j-MATH-GAZ,
volume = "97",
number = "539",
pages = "242--255",
month = jul,
year = "2013",
CODEN = "MAGAAS",
DOI = "https://doi.org/10.1017/S0025557200005830",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
ISSN-L = "0025-5572",
bibdate = "Tue May 5 12:04:27 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=97&issueId=539;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Math. Gaz.",
fjournal = "The Mathematical Gazette",
journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=MAG",
remark = "From the article: ``The Lucas--Lehmer (LL) test is the
most efficient known for testing the primality of
Mersenne numbers, i.e., the integers $ M^i = 2 i 1, f o
r i \geq 1 $.''",
}
@Article{Khoshkenar:2013:NTR,
author = "Amin Khoshkenar and Hashem Mahlooji",
title = "A New Test of Randomness for {Lehmer} Generators Based
on the {Manhattan} Distance Between Pairs of
Consecutive Random Numbers",
journal = j-COMMUN-STAT-SIMUL-COMPUT,
volume = "42",
number = "1",
pages = "202--214",
year = "2013",
CODEN = "CSSCDB",
DOI = "https://doi.org/10.1080/03610918.2011.633728",
ISSN = "0361-0918",
ISSN-L = "0361-0918",
bibdate = "Sat Jan 30 06:33:25 MST 2016",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/communstatsimulcomput2010.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications in Statistics: Simulation and
Computation",
journal-URL = "http://www.tandfonline.com/loi/lssp20",
}
@Article{McNew:2013:RWL,
author = "Nathan McNew",
title = "Radically Weakening the {Lehmer} and {Carmichael}
Conditions",
journal = j-INT-J-NUMBER-THEORY,
volume = "9",
number = "5",
pages = "1215--1224",
month = aug,
year = "2013",
DOI = "https://doi.org/10.1142/S1793042113500218",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:23:24 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042113500218",
abstract = "Lehmer's totient problem asks if there exist composite
integers n satisfying the condition \phi (n)|(n - 1)
(where \phi is the Euler-phi function), while
Carmichael numbers satisfy the weaker condition \lambda
(n)|(n - 1) (where \lambda is the Carmichael universal
exponent function). We weaken the condition further,
looking at those composite n where each prime divisor
of \phi (n) also divides n - 1. (So rad(\phi (n))|(n -
1).) While these numbers appear to be far more numerous
than the Carmichael numbers, we show that their
distribution has the same rough upper bound as that of
the Carmichael numbers, a bound which is heuristically
tight.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Miezaki:2013:CDD,
author = "Tsuyoshi Miezaki",
title = "Conformal designs and {D. H. Lehmer}'s conjecture",
journal = j-J-ALGEBRA,
volume = "374",
pages = "59--65",
year = "2013",
CODEN = "JALGA4",
DOI = "https://doi.org/10.1016/j.jalgebra.2012.10.019",
ISSN = "0021-8693 (print), 1090-266x (electronic)",
ISSN-L = "0021-8693",
MRclass = "17B69 (11F03)",
MRnumber = "2998794",
MRreviewer = "Nina Yu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Algebra",
journal-URL = "http://www.sciencedirect.com/science/journal/00218693",
}
@Article{Schinzel:2013:PLN,
author = "A. Schinzel",
title = "A Property of {Lehmer} Numbers",
journal = j-FIB-QUART,
volume = "51",
number = "2",
pages = "119--??",
month = may,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Fri Jun 21 10:34:14 MDT 2013",
bibsource = "http://www.fq.math.ca/51-2.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-2/schinzel.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Somer:2013:PLL,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "Prime {Lehmer} and {Lucas} Numbers With Composite
Indices",
journal = j-FIB-QUART,
volume = "51",
number = "3",
pages = "194--??",
month = aug,
year = "2013",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Mon Aug 12 10:45:43 MDT 2013",
bibsource = "http://www.fq.math.ca/51-3.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/51-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Xu:2013:SCE,
author = "Zhe Feng Xu",
title = "Some cancellations of the error term of the {D. H.
Lehmer} problem",
journal = "J. Shaanxi Normal Univ. Nat. Sci. Ed.",
volume = "41",
number = "6",
pages = "12--14, 20",
year = "2013",
ISSN = "1672-4291",
MRclass = "11N69",
MRnumber = "3184716",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Shaanxi Normal University. Journal. Natural Science
Edition. Shaanxi Shifan Daxue Xuebao. Ziran Kexue Ban",
}
@Article{Gun:2014:TGE,
author = "Sanoli Gun and Ekata Saha and Sneh Bala Sinha",
title = "Transcendence of generalized {Euler--Lehmer}
constants",
journal = j-J-NUMBER-THEORY,
volume = "145",
number = "??",
pages = "329--339",
month = dec,
year = "2014",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2014.06.010",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:09 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X14002157",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Xu:2014:HDD,
author = "Zhe Feng Xu and Tian Ping Zhang",
title = "High-dimensional {D. H. Lehmer} problem over short
intervals",
journal = "Acta Math. Sin. (Engl. Ser.)",
volume = "30",
number = "2",
pages = "213--228",
year = "2014",
DOI = "https://doi.org/10.1007/s10114-014-3324-z",
ISSN = "1439-8516",
MRclass = "11N25",
MRnumber = "3150234",
MRreviewer = "Andreas J. Weingartner",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Mathematica Sinica (English Series)",
}
@Article{Zhang:2014:HDD,
author = "Tianping Zhang",
title = "High-dimensional {D. H. Lehmer} problem over quarter
intervals",
journal = j-ABSTR-APPL-ANAL,
pages = "Art. ID 943794, 10",
year = "2014",
DOI = "https://doi.org/10.1155/2014/943794",
ISSN = "1085-3375 (print), 1687-0409 (electronic)",
ISSN-L = "1085-3375",
MRclass = "11N25 (11L40)",
MRnumber = "3200812",
MRreviewer = "Adam J. Harper",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Abstract and Applied Analysis",
}
@Article{Hajdu:2015:CFS,
author = "L. Hajdu and M. Szikszai",
title = "Common Factors in Series of Consecutive Terms of
Associated {Lucas} and {Lehmer} Sequences",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "221--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/hajdu.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Han:2015:NMV,
author = "Di Han and Wenpeng Zhang",
title = "A new mean value related to {D. H. Lehmer}'s problem
and {Kloosterman} sums",
journal = "Bull. Korean Math. Soc.",
volume = "52",
number = "1",
pages = "35--43",
year = "2015",
DOI = "https://doi.org/10.4134/BKMS.2015.52.1.035",
ISSN = "1015-8634",
MRclass = "11L40 (11F20)",
MRnumber = "3313422",
MRreviewer = "Sandro Bettin",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Korean Mathematical Society",
}
@Article{Somer:2015:LS,
author = "Lawrence Somer and Michal Kr{\'\i}zek",
title = "On {Lehmer} Superpseudoprimes",
journal = j-FIB-QUART,
volume = "53",
number = "3",
pages = "206--??",
month = aug,
year = "2015",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Wed Oct 7 06:58:52 MDT 2015",
bibsource = "http://www.fq.math.ca/53-3.html;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Abstracts/53-3/somer.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Tian:2015:PAL,
author = "Qing Tian and Shujuan Cao and Chunxiao Yang",
title = "On a problem analogues to {Lehmer}'s and {Hurwitz}
zeta-function",
journal = j-APPL-MATH-COMP,
volume = "268",
number = "??",
pages = "636--643",
day = "1",
month = oct,
year = "2015",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Wed Sep 16 06:56:32 MDT 2015",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S009630031500898X",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Zhang:2015:SNS,
author = "Han Zhang and Wenpeng Zhang",
title = "Some new sums related to {D. H. Lehmer} problem",
journal = j-CZECH-MATH-J,
volume = "65(140)",
number = "4",
pages = "915--922",
year = "2015",
CODEN = "CZMJAE",
DOI = "https://doi.org/10.1007/s10587-015-0217-y",
ISSN = "0011-4642",
MRclass = "11L05 (11L40)",
MRnumber = "3441325",
MRreviewer = "Ping Xi",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Czechoslovak Mathematical Journal",
}
@Article{McNew:2016:ILN,
author = "Nathan McNew and Thomas Wright",
title = "Infinitude of $k$-{Lehmer} numbers which are not
{Carmichael}",
journal = j-INT-J-NUMBER-THEORY,
volume = "12",
number = "7",
pages = "1863--1869",
month = nov,
year = "2016",
DOI = "https://doi.org/10.1142/S1793042116501153",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:26 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042116501153",
abstract = "In this paper, we prove that there are infinitely many
n 's for which rad $ \phi $ n $ $ | n - 1 but n is not
a Carmichael number. Additionally, we prove that for
any k \geq 3, there exist infinitely many n 's such
that \phi $n$ | $ n - 1 $ ^{k} but \phi $n$ \nmid $ n -
1 $ ^{k - 1}. The constructions that we consider here
are generalizations of Carmichael and Lehmer numbers,
respectively, that were first formulated by Grau and
Oller-Marc{\'e}n.",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Wang:2016:MVF,
author = "Tingting Wang",
title = "A mean value function and its computational formula
related to {D. H. Lehmer}'s problem",
journal = "Bull. Korean Math. Soc.",
volume = "53",
number = "2",
pages = "487--494",
year = "2016",
DOI = "https://doi.org/10.4134/BKMS.2016.53.2.487",
ISSN = "1015-8634",
MRclass = "11L40 (11F20)",
MRnumber = "3483452",
MRreviewer = "Huaning Liu",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Korean Mathematical Society",
}
@Article{Stopple:2017:LPR,
author = "Jeffrey Stopple",
title = "{Lehmer} Pairs Revisited",
journal = j-EXP-MATH,
volume = "26",
number = "1",
pages = "45--53",
year = "2017",
CODEN = "????",
DOI = "https://doi.org/10.1080/10586458.2015.1107870",
ISSN = "1058-6458 (print), 1944-950X (electronic)",
ISSN-L = "1058-6458",
bibdate = "Mon Feb 20 08:34:24 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/expmath.bib;
http://www.tandfonline.com/toc/uexm20/26/1",
acknowledgement = ack-nhfb,
fjournal = "Experimental Mathematics",
journal-URL = "http://www.tandfonline.com/loi/uexm20",
keywords = "Lehmer pair; Riemann hypothesis; roots of zeta
function",
onlinedate = "07 Jul 2016",
}
@Article{vanIttersum:2017:GIV,
author = "Jan-Willem M. van Ittersum",
title = "A group-invariant version of {Lehmer}'s conjecture on
heights",
journal = j-J-NUMBER-THEORY,
volume = "171",
number = "??",
pages = "145--154",
month = feb,
year = "2017",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2016.07.015",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:25 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X16301986",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Verhoeff:2017:SDH,
author = "Tom Verhoeff",
title = "The spurs of {D. H. Lehmer}: {Hamiltonian} paths in
neighbor-swap graphs of permutations",
journal = j-DESIGNS-CODES-CRYPTOGR,
volume = "84",
number = "1--2",
pages = "295--310",
month = jul,
year = "2017",
CODEN = "DCCREC",
DOI = "https://doi.org/10.1007/s10623-016-0301-9",
ISSN = "0925-1022 (print), 1573-7586 (electronic)",
ISSN-L = "0925-1022",
MRclass = "05C38 (05C45)",
MRnumber = "3654211",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://link.springer.com/journal/10623/84/1;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/designscodescryptogr.bib",
URL = "https://link.springer.com/content/pdf/10.1007/s10623-016-0301-9.pdf",
acknowledgement = ack-nhfb,
fjournal = "Designs, Codes and Cryptography. An International
Journal",
journal-URL = "http://link.springer.com/journal/10623",
}
@Article{Demangos:2018:LPD,
author = "Luca Demangos",
title = "{Lehmer} problem and {Drinfeld} modules",
journal = j-J-NUMBER-THEORY,
volume = "189",
number = "??",
pages = "147--185",
month = aug,
year = "2018",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2017.12.002",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:36 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X18300088",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Simonic:2018:LPD,
author = "Aleksander Simoni{\v{c}}",
title = "{Lehmer} pairs and derivatives of {Hardy}'s
{$Z$}-function",
journal = j-J-NUMBER-THEORY,
volume = "184",
number = "??",
pages = "451--460",
month = mar,
year = "2018",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2017.08.030",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:33 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1730330X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{Zhao:2018:DHL,
author = "Jian Hong Zhao and Xiao Xue Li",
title = "The {D. H. Lehmer} number and related problems",
journal = "J. Inn. Mong. Norm. Univ. Nat. Sci.",
volume = "47",
number = "1",
pages = "12--15",
year = "2018",
ISSN = "1001-8735",
MRclass = "11L03",
MRnumber = "3753382",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Inner Mongolia Normal University. Nei
Mongol Shifan Daxue Xuebao. Ziran Kexue. Hanwen Ban",
}
@Article{Burek:2019:NUB,
author = "Dominik Burek and B{\l}a{\.z}ej {\.Z}mija",
title = "A new upper bound for numbers with the {Lehmer}
property and its application to repunit numbers",
journal = j-INT-J-NUMBER-THEORY,
volume = "15",
number = "7",
pages = "1463--1468",
month = aug,
year = "2019",
DOI = "https://doi.org/10.1142/S1793042119500830",
ISSN = "1793-0421 (print), 1793-7310 (electronic)",
ISSN-L = "1793-0421",
bibdate = "Tue Jul 21 10:35:40 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/ijnt.bib",
URL = "https://www.worldscientific.com/doi/10.1142/S1793042119500830",
abstract = "g^{n} - 1 g - 1 | n, g \in \mathbb{N}, \nu_2 $g$ +
\nu_2 $ g + 1 $ \leq L,",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Number Theory (IJNT)",
journal-URL = "https://www.worldscientific.com/worldscinet/ijnt",
}
@Article{Cohen:2019:LNP,
author = "Stephen D. Cohen and Tim Trudgian",
title = "{Lehmer} numbers and primitive roots modulo a prime",
journal = j-J-NUMBER-THEORY,
volume = "203",
number = "??",
pages = "68--79",
month = oct,
year = "2019",
CODEN = "JNUTA9",
DOI = "https://doi.org/10.1016/j.jnt.2019.03.004",
ISSN = "0022-314X (print), 1096-1658 (electronic)",
ISSN-L = "0022-314X",
bibdate = "Wed Jul 15 08:49:44 MDT 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/jnumbertheory2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0022314X1930109X",
acknowledgement = ack-nhfb,
ajournal = "J. Number Theory",
fjournal = "Journal of Number Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/0022314X",
}
@Article{DeSilva:2019:LLC,
author = "Dilum {De Silva} and Michael J. Mossinghoff and
Vincent Pigno and Christopher Pinner",
title = "The {Lind--Lehmer} constant for certain $p$-groups",
journal = j-MATH-COMPUT,
volume = "88",
number = "316",
pages = "949--972",
month = oct,
year = "2019",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/mcom/3350",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Jul 14 06:45:36 MDT 2020",
bibsource = "http://www.ams.org/mcom/2019-88-316;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "https://www.ams.org/journals/mcom/2019-88-316/S0025-5718-2018-03350-6;
https://www.ams.org/journals/mcom/2019-88-316/S0025-5718-2018-03350-6/S0025-5718-2018-03350-6.pdf;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=1052058;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=1057528;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=319822;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=630072",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Ekhad:2019:DHL,
author = "Shalosh B. Ekhad and Doron Zeilberger",
title = "{D. H. Lehmer}'s tridiagonal determinant: an {\'e}tude
in ({Andrews}-inspired) experimental mathematics",
journal = "Ann. Comb.",
volume = "23",
number = "3-4",
pages = "717--724",
year = "2019",
DOI = "https://doi.org/10.1007/s00026-019-00441-y",
ISSN = "0218-0006",
MRclass = "05A17",
MRnumber = "4039559",
MRreviewer = "David K. Penniston",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Annals of Combinatorics",
}
@Article{Shiu:2019:CCS,
author = "Peter Shiu",
title = "Corrigendum to {``Counting sums of two squares: the
Meissel--Lehmer method''}",
journal = j-MATH-COMPUT,
volume = "88",
number = "320",
pages = "2935--2938",
month = oct,
year = "2019",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/mcom/3477",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Jul 14 06:45:45 MDT 2020",
bibsource = "http://www.ams.org/mcom/2019-88-320;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "https://www.ams.org/AMSMathViewer;
https://www.ams.org/journals/mcom/2019-88-320/S0025-5718-2019-03477-4;
https://www.ams.org/journals/mcom/2019-88-320/S0025-5718-2019-03477-4/S0025-5718-2019-03477-4.pdf;
https://www.ams.org/mathscinet/search/authors.html?mrauthid=160965",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Penalva:2020:LMO,
author = "Helena Penalva and M. Ivette Gomes and Frederico
Caeiro and M. Manuela Neves",
title = "{Lehmer}'s mean-of-order-$p$ extreme value index
estimation: a simulation study and applications",
journal = j-J-APPL-STAT,
volume = "47",
number = "13--15",
pages = "2825--2845",
year = "2020",
CODEN = "????",
DOI = "https://doi.org/10.1080/02664763.2019.1694871",
ISSN = "0266-4763 (print), 1360-0532 (electronic)",
ISSN-L = "0266-4763",
bibdate = "Tue May 18 11:16:47 MDT 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/japplstat.bib;
http://www.tandf.co.uk/journals/routledge/02664763.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Statistics",
journal-URL = "http://www.tandfonline.com/loi/cjas20",
onlinedate = "07 Jan 2020",
}
@Article{Xi:2020:KSP,
author = "Ping Xi and Yuan Yi",
title = "{Kloosterman} sums and a problem of {D. H. Lehmer}",
journal = "Chin. Ann. Math. Ser. B",
volume = "41",
number = "3",
pages = "361--370",
year = "2020",
DOI = "https://doi.org/10.1007/s11401-020-0203-z",
ISSN = "0252-9599",
MRclass = "11N69 (11L05)",
MRnumber = "4098044",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Chinese Annals of Mathematics. Series B",
}
@InCollection{Ekhad:2021:DHL,
author = "Shalosh B. Ekhad and Doron Zeilberger",
booktitle = "{George E. Andrews} --- 80 years of combinatory
analysis",
title = "{D. H. Lehmer}'s tridiagonal determinant: an {\'e}tude
in ({Andrews}-inspired) experimental mathematics",
publisher = "Birkh{\"a}user\slash Springer",
address = "Cham, Switzerland",
pages = "363--370",
year = "2021",
DOI = "https://doi.org/10.1007/s00026-019-00441-y",
MRclass = "05A17 (11B83 15A15)",
MRnumber = "4221113",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "Reprint of [ 4039559]",
series = "Trends Math.",
acknowledgement = ack-nhfb,
}
@Article{Robbins:1926:PSP,
author = "C. K. Robbins",
title = "Problems and Solutions: Problems for Solution: 3181",
journal = j-AMER-MATH-MONTHLY,
volume = "33",
number = "5",
pages = "278--279",
month = may,
year = "1926",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Fitch:1961:APS,Irwin:1927:PSS,Riley:1927:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Andrew:1927:PSS,
author = "Thurman Andrew and Michael Goldberg",
title = "Problems and Solutions: Solutions: 3210",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "384--385",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Bullard:1927:PSS,
author = "J. A. Bullard and H. L. Slobin",
title = "Problems and Solutions: Solutions: 3211",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "385--385",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Irwin:1927:PSS,
author = "Frank Irwin and A. Pelletier",
title = "Problems and Solutions: Solutions: 3181",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "4",
pages = "217--218",
month = apr,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:23 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Robbins:1926:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Mills:1927:PSS,
author = "C. N. Mills and Otto Dunkel",
title = "Problems and Solutions: Solutions: 3207",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "7",
pages = "382--384",
month = aug # "\slash " # sep,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1926:PSPa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Riley:1927:PSSb,
author = "J. L. Riley and H. S. Uhler",
title = "Problems and Solutions: Solutions: 3182",
journal = j-AMER-MATH-MONTHLY,
volume = "34",
number = "4",
pages = "218--218",
month = apr,
year = "1927",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:23 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Robbins:1926:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Corey:1928:PSP,
author = "S. A. Corey",
title = "Problems and Solutions: Problems for Solution: 3349",
journal = j-AMER-MATH-MONTHLY,
volume = "35",
number = "9",
pages = "494--494",
month = nov,
year = "1928",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:57 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Corey:1930:PSSa,Irwin:1930:PSS,Smith:1929:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Smith:1929:PSS,
author = "C. D. Smith and J. H. Neelley",
title = "Problems and Solutions: Solutions: 3351",
journal = j-AMER-MATH-MONTHLY,
volume = "36",
number = "10",
pages = "544--545",
month = dec,
year = "1929",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 07:12:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Corey:1928:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Anonymous:1930:PSSd,
author = "Anonymous",
title = "Problems and Solutions: Solutions: 3416",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "559--560",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Corey:1930:PSSa,
author = "S. A. Corey",
title = "Problems and Solutions: Solutions: 3349",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "1",
pages = "39--39",
month = jan,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:44 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Corey:1928:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Johnston:1930:PSS,
author = "L. S. Johnston and A. Pelletier and Otto Dunkel",
title = "Problems and Solutions: Solutions: 3415",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "559--559",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Rider:1930:PSP,
author = "P. R. Rider and B. C. Wong and L. S. Johnston and
William Hoover and C. O. Williamson and David H. Dodge",
title = "Problems and Solutions: Problems for Solution:
3412--3418",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "3",
pages = "157--158",
month = mar,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:48 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Anonymous:1930:PSSd,Dodge:1931:PSS,Johnston:1930:PSS,Rider:1930:PSSa,Rider:1930:PSSb,Rider:1931:PSS,Williamson:1931:PSS,Wong:1930:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Rider:1930:PSSa,
author = "P. R. Rider and V. F. Ivanoff",
title = "Problems and Solutions: Solutions: 3412",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "556--557",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Rider:1930:PSSb,
author = "P. R. Rider and V. F. Ivanoff",
title = "Problems and Solutions: Solutions: 3413",
journal = j-AMER-MATH-MONTHLY,
volume = "37",
number = "10",
pages = "557--558",
month = dec,
year = "1930",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP,Rider:1931:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Dodge:1931:PSS,
author = "David H. Dodge and Beatrice Aitchison",
title = "Problems and Solutions: Solutions: 3418",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "1",
pages = "52--53",
month = jan,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:06 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Rider:1931:PSS,
author = "P. R. Rider and H. L. Rietz",
title = "Problems and Solutions: Solutions: 3413",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "5",
pages = "292--295",
month = may,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:15 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP,Rider:1930:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Williamson:1931:PSS,
author = "C. O. Williamson and E. M. Berry and R.
Goormaghtigh",
title = "Problems and Solutions: Solutions: 3417",
journal = j-AMER-MATH-MONTHLY,
volume = "38",
number = "1",
pages = "51--52",
month = jan,
year = "1931",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:06 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Rider:1930:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Altshiller-Court:1932:PSSa,
author = "Nathan Altshiller-Court and Edwin J. Purcell",
title = "Problems and Solutions: Solutions: 3477",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "1",
pages = "56--57",
month = jan,
year = "1932",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1931:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ivanoff:1932:PSSa,
author = "Vladimir F. Ivanoff and Marjorie E. Halliwill",
title = "Problems and Solutions: Solutions: 3476",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "1",
pages = "55--56",
month = jan,
year = "1932",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1931:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ivanoff:1932:PSSb,
author = "Vladimir F. Ivanoff and Ralph P. Agnew",
title = "Problems and Solutions: Solutions: 3478",
journal = j-AMER-MATH-MONTHLY,
volume = "39",
number = "2",
pages = "117--119",
month = feb,
year = "1932",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1931:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Anonymous:1933:CPE,
author = "Anonymous",
title = "Corrigenda: {A} Photo-Electric Number Siever",
journal = j-AMER-MATH-MONTHLY,
volume = "40",
number = "10",
pages = "630--630",
month = dec,
year = "1933",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 07:52:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See \cite{Lehmer:1933:PEN}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Anderson:1936:PSE,
author = "S. A. Anderson and Simon Vatriquant",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E210}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "642--643",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Cheney:1936:PSEe,
author = "W. F. {Cheney, Jr.} and C. L. Weaver",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E186}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "375--375",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Feld:1936:PSEc,
author = "J. M. Feld and L. M. Kelly",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E209}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "641--642",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Gloden:1936:PSEb,
author = "A. Gloden and J. W. Clawson",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E181}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "5",
pages = "306--306",
month = may,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:10 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Johnston:1936:PSE,
author = "L. S. Johnston and W. B. Clarke",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E206}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "640--641",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Reade:1936:PSE,
author = "M. O. Reade and B. C. Zimmerman",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E184}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "374--375",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Richmond:1936:PSE,
author = "C. A. Richmond",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E185}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "6",
pages = "375--375",
month = jun # "\slash " # jul,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:13 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE,Richmond:1937:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1936:PSEe,
author = "V. Th{\'e}bault and M. J. Turner",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E183}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "5",
pages = "308--309",
month = may,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:10 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1936:PSEj,
author = "V. Th{\'e}bault and Wm. Douglas",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E207}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "641--641",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Whittemore:1936:PSE,
author = "C. A. Whittemore",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E208}",
journal = j-AMER-MATH-MONTHLY,
volume = "43",
number = "10",
pages = "641--641",
month = dec,
year = "1936",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Lehmer:1936:PSEa,Whittemore:1938:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1937:PSAa,
author = "Paul Erd{\H{o}}s",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 3820",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "3",
pages = "179--180",
month = mar,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1939:PSAb,Goormaghtigh:1939:PSA,Musselman:1939:PSAa,Thebault:1939:PSSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Richmond:1937:PSE,
author = "C. A. Richmond and R. M. Foster",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E185}",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "1",
pages = "50--51",
month = jan,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:24 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Gloden:1935:PSE,Richmond:1936:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1937:PSEl,
author = "V. Th{\'e}bault and Daniel Finkel and D. L. MacKay and
F. A. Alfieri and J. E. Trevor",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E299}--{E303}",
journal = j-AMER-MATH-MONTHLY,
volume = "44",
number = "9",
pages = "598--599",
month = nov,
year = "1937",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:15:56 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Alfieri:1938:PSEb,Finkel:1938:PSE,MacKay:1938:PSEd,Thebault:1938:PSEg,Trevor:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Alfieri:1938:PSEb,
author = "F. A. Alfieri and R. W. Cowan",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E302}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "322--323",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Alfieri:1938:PSEd,
author = "F. A. Alfieri and E. S. Smith",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E315}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "692--693",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Cheney:1938:PSEc,
author = "Wm. F. {Cheney, Jr.} and W. C. Rufus",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E317}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "693--694",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Court:1938:PSAc,
author = "N. A. Court",
title = "Problems and Solutions: Advanced Problems: 3804",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "9",
pages = "634--635",
month = nov,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:05 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Court:1938:PSEc,
author = "N. A. Court and L. M. Kelly",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E318}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "694--694",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Gaines:1938:PSA,
author = "R. E. Gaines and Evelyn Jaeckle",
title = "Problems and Solutions: Advanced Problems: 3805",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "699--700",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Lehmer:1936:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{MacKay:1938:PSEd,
author = "D. L. MacKay and B. C. Zimmerman",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E301}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "321--322",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Rosenbaum:1938:PSEb,
author = "Joseph Rosenbaum",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E319}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "694--696",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1938:PSEg,
author = "V. Th{\'e}bault and W. C. Rufus",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E299}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "5",
pages = "320--320",
month = may,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:55 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Trevor:1938:PSEa,
author = "J. E. Trevor",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E303}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "6",
pages = "387--389",
month = jun # "\slash " # jul,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:57 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thebault:1937:PSEl}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Trevor:1938:PSEb,
author = "J. E. Trevor",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E316}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "10",
pages = "693--693",
month = dec,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:07 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Alfieri:1938:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Whittemore:1938:PSE,
author = "G. A. Whittemore and W. E. Buker",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E208}",
journal = j-AMER-MATH-MONTHLY,
volume = "45",
number = "7",
pages = "479--479",
month = aug # "\slash " # sep,
year = "1938",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:00 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Lehmer:1936:PSEa,Whittemore:1936:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Goormaghtigh:1939:PSA,
author = "R. Goormaghtigh and Otto J. Ramler",
title = "Problems and Solutions: Advanced Problems: 3822",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "5",
pages = "302--303",
month = may,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Musselman:1939:PSAa,
author = "J. R. Musselman and C. E. Springer",
title = "Problems and Solutions: Advanced Problems: 3823",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "5",
pages = "303--304",
month = may,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Musselman:1939:PSAb,
author = "J. R. Musselman and R. Goormaghtigh",
title = "Problems and Solutions: Advanced Problems: Solutions:
3838",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "9",
pages = "602--604",
month = nov,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:25:38 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1939:PSAh,
author = "V. Th{\'e}bault",
title = "Problems and Solutions: Advanced Problems: Solutions:
3839",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "9",
pages = "604--606",
month = nov,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Fri Jul 9 08:25:38 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1939:PSSb,
author = "V. Th{\'e}bault and R. Goormaghtigh",
title = "Problems and Solutions: Solutions: 3821",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "4",
pages = "241--244",
month = apr,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1937:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thielman:1939:PSS,
author = "H. P. Thielman and Hsien-yu Hsu",
title = "Problems and Solutions: Solutions: 3836",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "8",
pages = "517--520",
month = oct,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:26 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Thielman:1940:PSA,Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Wallace:1939:PSSb,
author = "Don Wallace and J. H. Butchart",
title = "Problems and Solutions: Solutions: 3832",
journal = j-AMER-MATH-MONTHLY,
volume = "46",
number = "7",
pages = "457--457",
month = aug # "\slash " # sep,
year = "1939",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:23 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Claudian:1940:PSEf,
author = "Virgil Claudian and V. W. Graham",
title = "Problems and Solutions: Elementary Problems: {E407}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "660--660",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Hardingham:1940:PSE,
author = "C. H. Hardingham and W. E. Buker",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E410}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "661--661",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Rufus:1940:PSEb,
author = "W. C. Rufus and E. K. Paxton",
title = "Problems and Solutions: Elementary Problems: {E408}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "660--661",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Segal:1940:PSEa,
author = "David Segal and Virgil Claudian and W. C. Rufus and V.
Th{\'e}bault and C. H. Hardingham",
title = "Problems and Solutions: Elementary Problems: Problems
for Solution: {E406}--{E410}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "2",
pages = "110--110",
month = feb,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:47 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Claudian:1940:PSEf,Hardingham:1940:PSE,Rufus:1940:PSEa,Rufus:1940:PSEb,Segal:1940:PSEc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Segal:1940:PSEc,
author = "David Segal and Esther Szekeres",
title = "Problems and Solutions: Elementary Problems: {E406}",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "9",
pages = "659--659",
month = nov,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Segal:1940:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1940:PSAk,
author = "V. Th{\'e}bault and R. Goormaghtigh",
title = "Problems and Solutions: Advanced Problems: 3840",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "7",
pages = "491--494",
month = aug # "\slash " # sep,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:58 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thielman:1940:PSA,
author = "H. P. Thielman and E. S. Pondiczery",
title = "Problems and Solutions: Advanced Problems: 3836",
journal = j-AMER-MATH-MONTHLY,
volume = "47",
number = "2",
pages = "115--117",
month = feb,
year = "1940",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:47 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
note = "See also \cite{Thielman:1939:PSS,Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
author-dates = "John W. Tukey (1915--2000)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
remark = "Pondiczery is a pseudonym for a group: John W. Tukey,
Ralph P. Boas, F. Smithies, and others.",
}
@Article{Browne:1941:PSEb,
author = "D. H. Browne and H. W. Becker",
title = "Problems and Solutions: Elementary Problems: {E461}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "10",
pages = "701--703",
month = dec,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1941:PSEk,
author = "V. Th{\'e}bault and E. P. Starke",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E462}",
journal = j-AMER-MATH-MONTHLY,
volume = "48",
number = "10",
pages = "703--704",
month = dec,
year = "1941",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:28 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Court:1942:PSEa,
author = "N. A. Court and Howard Eves",
title = "Problems and Solutions: Elementary Problems: {E463}",
journal = j-AMER-MATH-MONTHLY,
volume = "49",
number = "1",
pages = "61--62",
month = jan,
year = "1942",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Johnston:1942:PSE,
author = "L. S. Johnston and Albert Furman",
title = "Problems and Solutions: Elementary Problems: {E465}",
journal = j-AMER-MATH-MONTHLY,
volume = "49",
number = "1",
pages = "62--62",
month = jan,
year = "1942",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:30 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1941:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1943:PSAa,
author = "P. Erd{\H{o}}s",
title = "Problems and Solutions: Advanced Problems: Problems
for Solution: 4065",
journal = j-AMER-MATH-MONTHLY,
volume = "50",
number = "1",
pages = "65--66",
month = jan,
year = "1943",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:52 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Bellman:1944:PSAb,Erdos:1944:PSAa,Singer:1944:PSA,Thebault:1944:PSAe,Wall:1944:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Bellman:1944:PSAb,
author = "Richard Bellman",
title = "Problems and Solutions: Advanced Problems: 4066",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "8",
pages = "475--476",
month = oct,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1944:PSAa,
author = "P. Erd{\H{o}}s and Robert Steinberg",
title = "Problems and Solutions: Advanced Problems: 4065",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "3",
pages = "169--171",
month = mar,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:20 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Singer:1944:PSA,
author = "James Singer and N. G. Gunderson",
title = "Problems and Solutions: Advanced Problems: 4068",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "8",
pages = "476--477",
month = oct,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1944:PSAe,
author = "V. Th{\'e}bault",
title = "Problems and Solutions: Advanced Problems: 4069",
journal = j-AMER-MATH-MONTHLY,
volume = "51",
number = "8",
pages = "477--478",
month = oct,
year = "1944",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1943:PSAa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Browne:1946:PSEc,
author = "D. H. Browne and E. P. Starke and Paul Bateman and M.
S. Knebelman",
title = "Problems and Solutions: Elementary Problems: {E706}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "9",
pages = "533--534",
month = nov,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
annote = "Author name is ``Knebleman'' in v50n6 and
``Knebelman'' in other issues from this decade.",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Court:1946:PSEb,
author = "N. A. Court",
title = "Problems and Solutions: Elementary Problems:
Solutions: {E709}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "8",
pages = "470--470",
month = oct,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{deRegt:1946:PSS,
author = "M. P. {de Regt} and E. P. Starke",
title = "Problems and Solutions: Solutions: {E708}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "8",
pages = "469--469",
month = oct,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Thebault:1946:PSSb,
author = "Victor Th{\'e}bault and H. E. Fettis",
title = "Problems and Solutions: Solutions: {E707}",
journal = j-AMER-MATH-MONTHLY,
volume = "53",
number = "8",
pages = "468--469",
month = oct,
year = "1946",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Browne:1946:PSEa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Olds:1947:EPS,
author = "C. D. Olds",
title = "Elementary Problems and Solutions: {E760}",
journal = j-AMER-MATH-MONTHLY,
volume = "54",
number = "2",
pages = "108--108",
month = feb,
year = "1947",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:26 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Olds:1947:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Sandham:1948:APSc,
author = "H. F. Sandham",
title = "Advanced Problems and Solutions: Problems for
Solution: 4305",
journal = j-AMER-MATH-MONTHLY,
volume = "55",
number = "7",
pages = "431--432",
month = aug # "\slash " # sep,
year = "1948",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:00 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1962:APS,Goormaghtigh:1950:APSb,Lehmer:1950:APS,Sandham:1950:APSb,Wall:1950:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Goormaghtigh:1950:APSb,
author = "R. Goormaghtigh",
title = "Advanced Problems and Solutions: 4309",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "270--270",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Sandham:1950:APSb,
author = "H. F. Sandham and Martin Kneser",
title = "Advanced Problems and Solutions: 4305",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "267--268",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Wall:1950:APSb,
author = "H. S. Wall and M. S. Robertson",
title = "Advanced Problems and Solutions: 4308",
journal = j-AMER-MATH-MONTHLY,
volume = "57",
number = "4",
pages = "269--270",
month = apr,
year = "1950",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:35:53 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Golomb:1954:APS,
author = "S. W. Golomb",
title = "Advanced Problems and Solutions: Problems for
Solution: 4593",
journal = j-AMER-MATH-MONTHLY,
volume = "61",
number = "6",
pages = "427--428",
month = jun # "\slash " # jul,
year = "1954",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:32 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1955:APSd,Golomb:1955:APS,Klamkin:1955:APSf,Lorentz:1955:APS,Reich:1955:APS,Reich:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Schoenberg:1954:APS,
author = "I. J. Schoenberg and Leonard Carlitz and Leon Bankoff
and Harry Goheen and C. M. Ablow and D. L. Johnson",
title = "Advanced Problems and Solutions: Problems for
Solution: 4598--4602",
journal = j-AMER-MATH-MONTHLY,
volume = "61",
number = "7",
pages = "476--477",
month = aug # "\slash " # sep,
year = "1954",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Thu Jul 8 14:13:16 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Ablow:1955:APS,Ablow:1957:APS,Bankoff:1955:APS,Carlitz:1955:APSb,Goheen:1955:APS,Schoenberg:1955:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ablow:1955:APS,
author = "C. M. Ablow and D. L. Johnson and A. E. Danese",
title = "Advanced Problems and Solutions: 4602",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "10",
pages = "736--737",
month = dec,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Ablow:1957:APS,Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Bankoff:1955:APS,
author = "Leon Bankoff and W. J. Blundon",
title = "Advanced Problems and Solutions: 4600",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "10",
pages = "734--736",
month = dec,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1955:APSd,
author = "Paul Erd{\H{o}}s and Howard Robbins",
title = "Advanced Problems and Solutions: 4597",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "663--664",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Goheen:1955:APS,
author = "Harry Goheen",
title = "Advanced Problems and Solutions: 4601",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "10",
pages = "736--736",
month = dec,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:04 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Klamkin:1955:APSf,
author = "M. S. Klamkin and A. S. Hendler",
title = "Advanced Problems and Solutions: 4595",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "660--661",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Lorentz:1955:APS,
author = "G. G. Lorentz",
title = "Advanced Problems and Solutions: 4596",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "661--663",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Reich:1955:APS,
author = "Edgar Reich and A. R. Hyde and S. K. B. Stein and
Albert Wilansky",
title = "Advanced Problems and Solutions: Solutions: 4594",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "8",
pages = "591--591",
month = oct,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:59 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS,Reich:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Schoenberg:1955:APSb,
author = "I. J. Schoenberg and Bruce Kellogg",
title = "Advanced Problems and Solutions: 4598",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "9",
pages = "664--665",
month = nov,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:02 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Weissblum:1955:APS,
author = "W. E. Weissblum",
title = "Advanced Problems and Solutions: Problems for
Solution: 4633",
journal = j-AMER-MATH-MONTHLY,
volume = "62",
number = "4",
pages = "258--259",
month = apr,
year = "1955",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:50 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Babbitt:1956:APS,Briggs:1956:APS,Lehmer:1956:APS,Wang:1956:APS,Weissblum:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Babbitt:1956:APS,
author = "A. E. {Babbitt, Jr.} and W. R. Scott",
title = "Advanced Problems and Solutions: Solutions: 4635",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "432--433",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Briggs:1956:APS,
author = "W. E. Briggs and V. D. Gokhale",
title = "Advanced Problems and Solutions: 4637",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "7",
pages = "498--500",
month = aug # "\slash " # sep,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:20 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1956:APS,
author = "Paul Erd{\H{o}}s and R. Venkatachalam and J. E.
{Wilkins, Jr.} and M. S. Klamkin",
title = "Advanced Problems and Solutions: Problems for
Solution: 4673--4677",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "2",
pages = "125--126",
month = feb,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:09 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Erdos:1959:APSb,Iyer:1957:APSb,Klamkin:1957:APSa,Lehmer:1957:APS,Wilkins:1957:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Reich:1956:APS,
author = "Edgar Reich and S. L. Gulden",
title = "Advanced Problems and Solutions: 4594",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "427--429",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Golomb:1954:APS,Reich:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Wang:1956:APS,
author = "Chih-yi Wang and T. F. Mulcrone",
title = "Advanced Problems and Solutions: 4634",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "431--432",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Weissblum:1956:APS,
author = "W. E. Weissblum and John Isbell",
title = "Advanced Problems and Solutions: 4633",
journal = j-AMER-MATH-MONTHLY,
volume = "63",
number = "6",
pages = "431--431",
month = jun # "\slash " # jul,
year = "1956",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:18 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Weissblum:1955:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ablow:1957:APS,
author = "C. M. Ablow and D. L. Johnson and G. Lorentz",
title = "Advanced Problems and Solutions: 4602",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "1",
pages = "50--50",
month = jan,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:29 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Ablow:1955:APS,Schoenberg:1954:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Iyer:1957:APSb,
author = "R. Venkatachalam Iyer and D. C. B. Marsh",
title = "Advanced Problems and Solutions: 4674",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "121--122",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Klamkin:1957:APSa,
author = "M. S. Klamkin and Leonard Carlitz",
title = "Advanced Problems and Solutions: Solutions: 4677",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "124--125",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Wilkins:1957:APSb,
author = "J. E. {Wilkins, Jr.} and J. Horvath",
title = "Advanced Problems and Solutions: 4676",
journal = j-AMER-MATH-MONTHLY,
volume = "64",
number = "2",
pages = "123--123",
month = feb,
year = "1957",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1958:APSa,
author = "Paul Erd{\H{o}}s and C. R. Phelps",
title = "Advanced Problems and Solutions: 3834",
journal = j-AMER-MATH-MONTHLY,
volume = "65",
number = "1",
pages = "47--48",
month = jan,
year = "1958",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:51 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Wallace:1937:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1959:APSb,
author = "Paul Erd{\H{o}}s",
title = "Advanced Problems and Solutions: 4673",
journal = j-AMER-MATH-MONTHLY,
volume = "66",
number = "5",
pages = "427--427",
month = may,
year = "1959",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:24 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Erdos:1956:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Fitch:1961:APS,
author = "Philip Fitch and C. F. Pinzka",
title = "Advanced Problems and Solutions: Solutions: 3183",
journal = j-AMER-MATH-MONTHLY,
volume = "68",
number = "8",
pages = "812--814",
month = oct,
year = "1961",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:27 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Robbins:1926:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Erdos:1962:APS,
author = "Paul Erd{\H{o}}s",
title = "Advanced Problems and Solutions: Solutions: 4306",
journal = j-AMER-MATH-MONTHLY,
volume = "69",
number = "2",
pages = "173--173",
month = feb,
year = "1962",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:36 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Sandham:1948:APSc}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Makowski:1962:APS,
author = "A. Makowski",
title = "Advanced Problems and Solutions: Problems for
Solution: 5037",
journal = j-AMER-MATH-MONTHLY,
volume = "69",
number = "7",
pages = "670--671",
month = aug # "\slash " # sep,
year = "1962",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:48 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Barrucand:1963:APS,Funkenbusch:1963:APS,Makowski:1963:APS,Meisters:1963:APSb,Newman:1963:APSd,Ungar:1963:APSb,Warner:1963:APSb}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
xxnote = "Check pages??",
}
@Article{Funkenbusch:1963:APS,
author = "W. W. Funkenbusch",
title = "Advanced Problems and Solutions: Solutions: 5043",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "771--772",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Makowski:1963:APS,
author = "A. Makowski and Leonard Carlitz",
title = "Advanced Problems and Solutions: Solutions: 5037",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "766--767",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Meisters:1963:APSb,
author = "G. H. Meisters and Harlan Stevens",
title = "Advanced Problems and Solutions: Solutions: 5038",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "767--768",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Newman:1963:APSd,
author = "D. J. Newman and Robert Breusch",
title = "Advanced Problems and Solutions: Solutions: 5040",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "769--769",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Ungar:1963:APSb,
author = "Peter Ungar and F. P. {Callahan, Jr.}",
title = "Advanced Problems and Solutions: Solutions: 5041",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "770--770",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Warner:1963:APSb,
author = "Seth Warner and B. R. Toskey",
title = "Advanced Problems and Solutions: Solutions: 5039",
journal = j-AMER-MATH-MONTHLY,
volume = "70",
number = "7",
pages = "768--769",
month = aug # "\slash " # sep,
year = "1963",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:11 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Makowski:1962:APS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Cahit:1977:PSE,
author = "Ibrahim Cahit and Marianne Gardner and Haim Rose and
G. Tsintsifas and R. P. Boas and Robert Gilmer",
title = "Problems and Solutions: Elementary Problems:
{E2671}--{E2676}",
journal = j-AMER-MATH-MONTHLY,
volume = "84",
number = "8",
pages = "651--652",
month = oct,
year = "1977",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:47 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Boas:1979:PSSa,Cahit:1978:PSS,Gardner:1979:PSS,Gilmer:1979:PSS,Rose:1979:PSS,Tsintsifas:1979:PSS}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Knothe:1977:PSA,
author = "Herbert Knothe and C. C. Chen and D. E. Daykin and M.
J. Pelling and Thomas E. Elsner and Robert E. Shafer
and Clark Kimberling",
title = "Problems and Solutions: Advanced Problems:
6156--6161",
journal = j-AMER-MATH-MONTHLY,
volume = "84",
number = "6",
pages = "491--491",
month = jun # "\slash " # jul,
year = "1977",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:38:42 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also
\cite{Elsner:1979:PSS,Kimberling:1979:APS,Knothe:1979:PSS,Shafer:1979:PSSa}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Cahit:1978:PSS,
author = "Ibrahim Cahit and Paul Vojta and G. W. Peck",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2671}",
journal = j-AMER-MATH-MONTHLY,
volume = "85",
number = "10",
pages = "827--827",
month = dec,
year = "1978",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:14 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Boas:1979:PSSa,
author = "R. P. Boas and Allen Stenger",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2675}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "58--58",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Elsner:1979:PSS,
author = "Thomas E. Elsner and Allen J. Schwenk",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6159",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "2",
pages = "135--136",
month = feb,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Gardner:1979:PSS,
author = "Marianne Gardner and David M. Bloom",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2672}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "56--56",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Gilmer:1979:PSS,
author = "Robert Gilmer and A. A. Jagers",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2676}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "58--58",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Kimberling:1979:APS,
author = "Clark Kimberling and W. C. Waterhouse",
title = "Advanced Problems and Solutions: Solutions: 6161",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "2",
pages = "136--136",
month = feb,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:19 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Shafer:1979:PSSa,
author = "Robert E. Shafer and Andrzej Makowski",
title = "Problems and Solutions: Solutions of Advanced
Problems: 6160",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "7",
pages = "597--598",
month = aug # "\slash " # sep,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:31 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Knothe:1977:PSA}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Tsintsifas:1979:PSS,
author = "G. Tsintsifas and D. Z. Djokovic",
title = "Problems and Solutions: Solutions of Elementary
Problems: {E2674}",
journal = j-AMER-MATH-MONTHLY,
volume = "86",
number = "1",
pages = "57--57",
month = jan,
year = "1979",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:17 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
note = "See also \cite{Cahit:1977:PSE}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Sanchez:1981:PSS,
author = "David A. Sanchez and Deborah Frank Lockhart",
title = "Problems and Solutions: Solutions of Problems
Dedicated to {Emory P. Starke}: {S28}",
journal = j-AMER-MATH-MONTHLY,
volume = "88",
number = "9",
pages = "704--705",
month = nov,
year = "1981",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:33 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See also \cite{Lehmer:1980:PSP}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Howe:1989:LEN,
author = "Roger E. Howe",
title = "Letter to the Editor: {``A New Approach to Bernoulli
Polynomials''}",
journal = j-AMER-MATH-MONTHLY,
volume = "96",
number = "8",
pages = "708--709",
month = oct,
year = "1989",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:39:33 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib",
note = "See \cite{Lehmer:1988:NAB}.",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html",
}
@Article{Han:2021:NHD,
author = "Di Han and Zhefeng Xu and Yuan Yi and Tianping
Zhang",
title = "A note on high-dimensional {D. H. Lehmer} problem",
journal = "Taiwanese J. Math.",
volume = "25",
number = "6",
pages = "1137--1157",
year = "2021",
DOI = "https://doi.org/10.11650/tjm/210705",
ISSN = "1027-5487",
MRclass = "11L07 (11L05)",
MRnumber = "4342368",
bibdate = "Sat Jan 29 08:01:54 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib",
acknowledgement = ack-nhfb,
fjournal = "Taiwanese Journal of Mathematics",
}
@Proceedings{Anonymous:1951:PSS,
editor = "Anonymous",
booktitle = "{Proceedings of a Second Symposium on Large-Scale
Digital Calculating Machinery, Harvard University
Computation Laboratory, 13--16 September 1949}",
title = "{Proceedings of a Second Symposium on Large-Scale
Digital Calculating Machinery, Harvard University
Computation Laboratory, 13--16 September 1949}",
volume = "26",
publisher = pub-HARVARD,
address = pub-HARVARD:adr,
bookpages = "xxxviii + 393",
pages = "xxxviii + 393",
year = "1951",
ISSN = "????",
LCCN = "QA75 .S9 1949",
bibdate = "Tue Dec 21 16:10:10 2010",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
series = "Annals of the Computation Laboratory of Harvard
University",
acknowledgement = ack-nhfb,
}
@Proceedings{Macphail:1959:PFC,
editor = "M. S. Macphail",
booktitle = "{Proceedings of the fourth Canadian Mathematical
Congress: Banff, 1957 = Comptes rendus du quatri{\`e}me
Congr{\`e}s canadien de math{\'e}matiques: Banff,
1957}",
title = "{Proceedings of the fourth Canadian Mathematical
Congress: Banff, 1957 = Comptes rendus du quatri{\`e}me
Congr{\`e}s canadien de math{\'e}matiques: Banff,
1957}",
publisher = "University of Toronto Press",
address = "Toronto, ON, Canada",
bookpages = "viii + 184",
pages = "viii + 184",
year = "1959",
LCCN = "QA7 .C37 1957",
bibdate = "Tue Jun 28 06:52:35 MDT 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
meetingname = "Canadian Mathematical Congress (4th: 1957: Banff,
Alta.)",
remark = "Papers in English or French. Prefatory matter in
English and French. ``Devoted to the Sixth Seminar and
Fourth Congress, held in 1957 at Edmonton and
Banff''--T.p. verso.",
subject = "Mathematics; Congresses; Kanada",
}
@Proceedings{Metropolis:1980:HCT,
editor = "Nicholas Metropolis and Jack Howlett and Gian-Carlo
Rota",
booktitle = "A History of Computing in the {Twentieth Century}: a
Collection of Essays",
title = "A History of Computing in the {Twentieth Century}: a
Collection of Essays",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xix + 659",
year = "1980",
DOI = "https://doi.org/10.1016/C2009-0-22029-0",
ISBN = "0-12-491650-3, 1-4832-9668-7 (e-book)",
ISBN-13 = "978-0-12-491650-0, 978-1-4832-9668-5 (e-book)",
LCCN = "QA75.5 .I63 1976",
bibdate = "Tue Aug 15 18:57:33 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
http://www.math.utah.edu/pub/bibnet/authors/d/dijkstra-edsger-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
http://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
note = "Original versions of these papers were presented at
the International Research Conference on the History of
Computing, held at the Los Alamos Scientific
Laboratory, 10--15 June 1976.",
abstract = "\booktitle{A History of Computing in the Twentieth
Century} focuses on the advancements in the processes,
methodologies, programs, and techniques in computing.
The selection first elaborates on computing
developments in Cambridge, U.S.A., pioneering work on
computers at Bletchley, and the COLOSSUS. Discussions
focus on secrecy and priority, the first COLOSSUS, MARK
II COLOSSUS, postwar developments in computing, and the
HEATH ROBINSON project. The text then ponders on
Turing's work at the National Physical Laboratory and
the construction of Pilot ACE, DEUCE, and ACE, the
Smithsonian Computer History Project, and programming
in America. Topics include origins of FORTRAN,
optimization techniques in FORTRAN, DEUCE computer, and
the Pilot ACE. The book takes a look at the development
of programming in the USSR, advancement of programming
languages, and reflections on the evolution of
algorithmic language. The book also examines the
computer development at Manchester University, the
sieve process, MANIAC project, and the ENIAC project.
The selection is a valuable reference for computer
science experts and researchers interested in the
development of computing.",
acknowledgement = ack-nhfb,
author-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015)",
remark = "This book contains the edited versions of the papers
presented at the international research Conference on
the History of Computing, held at the Los Alamos
Scientific Laboratory, 10--15 June 1976. The book
provides an account of the development of the first
large-scale computers in the first half of the
twentieth century. Each chapter describes one phase of
the development and is written by either a participant
or a witness to these events. The treatment is
narrative and factual and is meant to give a first
exposition of the res gestae. The Exposition is
accessible to anyone interested in the subject and
requires no technical background.",
tableofcontents = "Contributors / / ii--ii \\
Front Matter / / iii--iii \\
Copyright / / iv--iv \\
Dedication [to John R. Pasta] / / v--v \\
List of Contributors / / xi--xiii \\
Preface / / xv--xvii \\
Acknowledgments / / xviii--xviii \\
Introductory Essay / N. Metropolis and Gian-Carlo Rota
/ xix--xx \\
Part I. Introduction \\
We would know what they thought when they did it / R.
W. Hamming / 3--9 \\
Historiography: a perspective for computer scientists /
Kenneth O. May / 11--18 \\
Part II. The human side \\
Computer developments 1935--1955, as seen from
Cambridge, U.S.A. / Garrett Birkhoff / 21--30 \\
Pioneering work on computers at Bletchley / I. J. Good
/ 31--45 \\
The COLOSSUS / B. Randell / 47--92 \\
Von Neumann: the interaction of mathematics and
computing / S. M. Ulam / 93--99 \\
Turing's work at the National Physical Laboratory and
the construction of Pilot ACE, DEUCE, and ACE / J. H.
Wilkinson / 101--114 \\
The Smithsonian computer history project and some
personal recollections / Henry S. Tropp / 115--122 \\
Part III. The languages \\
Programming in America in the 1950s: some personal
impressions / John Backus / 125--135 \\
The early development of programming in the USSR /
Andrei P. Ershov and Mikhail R. Shura-Bura / 137--196
\\
The early development of programming languages / Donald
E. Knuth and Luis Trabb Pardo / 197--273 \\
Reflections on the evolution of algorithmic language /
Mark B. Wells / 275--287 \\
Part IV. The machines \\
Computer development at the Institute for Advanced
Study / Julian Bigelow / 291--310 \\
From ENIAC to the stored-program computer: two
revolutions in computers / Arthur W. Burks / 311--344
\\
Computer development at Argonne National Laboratory /
J. C. Chu / 345--346 \\
The ORDVAC and the ILLIAC / James E. Robertson \\
WHIRLWIND / Robert R. Everett // 347--364 \\
Reminiscences of Oak Ridge / A. S. Householder /
385--388 \\
Computer development at IBM / Cuthbert C. Hurd /
389--418 \\
The SWAC: the National Bureau of Weather Standards
Western Automatic Computer / Harry D. Huskey / 419--431
\\
Computer development at Manchester University / S. H.
Lavington / 433--443 \\
A history of the sieve process / D. H. Lehmer /
445--456 \\
The MANIAC / N. Metropolis / 457--464 \\
Early research on computers at RCA / Jan Rajchman /
465--469 \\
Memories of the Bureau of Standards' SEAC / Ralph J.
Slutz / 471--477 \\
Early computers / George R. Stibitz / 479--483 \\
The start of an ERA: Engineering Research Associates,
Inc., 1946--1955 / Erwin Tomash / 485--495 \\
Early programming development in Cambridge / M. V.
Wilkes / 497--501 \\
Part V. The places \\
Between Zuse and Rutishauser: the early development of
digital computing in central Europe / Friedrich L.
Bauer / 505--524 \\
The ENIAC / J. Presper Eckert, Jr. / 525--539 \\
The ENIAC / John W. Mauchly / 541--550 \\
Computers in the University of London, 1945--1962 /
Andrew D. Booth / 551--561 \\
A programmer's early memories / Edsger W. Dijkstra /
563--573 \\
Early history of computing in Japan / Ryota Suekane /
575--578 \\
From mechanical linkages to electronic computers:
recollections from Czechoslovakia / Antonin Svoboda /
579--586 \\
Central European prehistory of computing / H. Zemanek /
587--609 \\
Some remarks on the history of computing in Germany /
Konrad Zuse / 611--627 \\
The origins of digital computers: supplementary
bibliography / B. Randell // 629--659 \\
General Index / / 661--683 \\
Index of Claimed Firsts and Inventions / 684--685 \\
Index of Names / 686--693",
}
@Proceedings{Vouk:1992:PAS,
editor = "Mladen A. Vouk and Douglas S. Reeves and Cherri M.
Pancake",
booktitle = "{Proceedings of the 30th Annual Southeast Regional
Conference: 1992, Raleigh, North Carolina, April 8--10,
1992}",
title = "{Proceedings of the 30th Annual Southeast Regional
Conference: 1992, Raleigh, North Carolina, April 8--10,
1992}",
publisher = pub-ACM,
address = pub-ACM:adr,
year = "1992",
ISBN = "0-89791-506-2",
ISBN-13 = "978-0-89791-506-9",
LCCN = "QA75.5 .S69a 1992",
bibdate = "Mon Feb 27 18:18:56 MST 2012",
bibsource = "catalog.princeton.edu:7090/voyager;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
meetingname = "ACM Southeast Regional Conference (30th: 1992:
Raleigh, NC)",
remark = "Title from title screen.",
subject = "Electronic data processing; Congresses; Database
management; Computer programming; Computer-assisted
instruction",
}
@Proceedings{Gautschi:1994:MCH,
editor = "Walter Gautschi",
booktitle = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
title = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
volume = "48",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xix + 643",
year = "1994",
ISBN = "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
(pt. 2)",
ISBN-13 = "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
978-0-8218-0354-7 (pt. 2)",
ISSN = "0160-7634",
LCCN = "QA1 .A56 v.48 1994",
bibdate = "Wed Jan 15 10:09:29 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
note = "See also SIAM Review, September 1995, {\bf 37}(3),
p.~483.",
series = "Proceedings of Symposia in Applied Mathematics",
acknowledgement = ack-nhfb,
}
@Proceedings{Levelt:1995:IPI,
editor = "A. H. M. Levelt",
booktitle = "{ISSAC '95: Proceedings of the 1995 International
Symposium on Symbolic and Algebraic Computation: July
10--12, 1995, Montr{\'e}al, Canada}",
title = "{ISSAC '95: Proceedings of the 1995 International
Symposium on Symbolic and Algebraic Computation: July
10--12, 1995, Montr{\'e}al, Canada}",
publisher = pub-ACM,
address = pub-ACM:adr,
bookpages = "xviii + 314",
pages = "xviii + 314",
year = "1995",
ISBN = "0-89791-699-9",
ISBN-13 = "978-0-89791-699-8",
LCCN = "QA 76.95 I59 1995",
bibdate = "Thu Sep 26 05:34:21 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "ACM order number 505950.",
series = "ISSAC -PROCEEDINGS- 1995",
abstract = "The following topics were dealt with: differential
equations; visualisation; algebraic numbers;
algorithms; systems; polynomial and differential
algebra; seminumerical methods; greatest common
divisors; and.",
acknowledgement = ack-nhfb,
classification = "C4100 (Numerical analysis); C4170 (Differential
equations); C7310 (Mathematics computing)",
confdate = "10--12 July 1995",
conflocation = "Montr{\'e}al, Que., Canada",
confsponsor = "ACM",
keywords = "algebra --- data processing --- congresses; Algebraic
numbers; Algorithms; Differential algebra; Differential
equations; Greatest common divisors; mathematics ---
data processing --- congresses; Polynomial;
Seminumerical methods; Systems; Visualisation",
pubcountry = "USA",
source = "ISSAC '95",
thesaurus = "Data visualisation; Differential equations; Group
theory; Numerical analysis; Symbol manipulation",
}
@Proceedings{Mourrain:2001:IJU,
editor = "Bernard Mourrain",
booktitle = "{ISSAC 2001: July 22--25, 2001, University of Western
Ontario, London, Ontario, Canada: proceedings of the
2001 International Symposium on Symbolic and Algebraic
Computation}",
title = "{ISSAC 2001: July 22--25, 2001, University of Western
Ontario, London, Ontario, Canada: proceedings of the
2001 International Symposium on Symbolic and Algebraic
Computation}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "xii + 352",
year = "2001",
ISBN = "1-58113-417-7",
ISBN-13 = "978-1-58113-417-9",
LCCN = "QA76.95.I59 2001",
bibdate = "Wed May 15 14:30:19 2002",
bibsource = "http://www.acm.org/pubs/contents/proceedings/series/issac/;
http://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
http://www.math.utah.edu/pub/tex/bib/issac.bib",
note = "ACM order number 505010.",
acknowledgement = ack-nhfb,
}
