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Hakmem Continued Fractions
Hakmem Continued Fractions: Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic. (Number Theory)
http://www.inwap.com/pdp10/hbaker/hakmem/cf.html |
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The Arithmetic Properties of Binomial Coefficients
The Arithmetic Properties of Binomial Coefficients: Activated text by Andrew Granville. (Number Theory)
http://www.cecm.sfu.ca/organics/papers/granville/index.html |
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Frequently Asked Questions
Frequently Asked Questions: Number Theory section of the sci.math FAQ list. (Number Theory)
http://www.cs.unb.ca/~alopez-o/math-faq/node21.html#SECTION00400000000000000000 |
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About Two Months of Computing
About Two Months of Computing: Work on the 196 palindrome problem by Tim Irvin. (Number Theory)
http://www.fourmilab.ch/documents/threeyears/two_months_more.html |
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Lehmer's Conjecture
Lehmer's Conjecture: That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA. (Number Theory)
http://www.math.ucla.edu/~mjm/lc/lc.html |
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Number Theory Foundation
Number Theory Foundation: Aims to collect donations from supporters of number theory and to disburse these donations to encourage research. (Number Theory)
http://www.math.uiuc.edu/ntf/ |
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World Records for Numerical Palindromes
World Records for Numerical Palindromes: The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette. (Number Theory)
http://www.jasondoucette.com/worldrecords.html |
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Introduction to p-Adic Analytic Number Theory
Introduction to p-Adic Analytic Number Theory: Notes of a short course at the Mehta Research Institute by M. Ram Murty. (Number Theory)
http://www.mri.ernet.in/~mathweb/lecture/murty-padic00/ |
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Integer Relations
Integer Relations: To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email. (Number Theory)
http://www.cecm.sfu.ca/projects/IntegerRelations/ |
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On-Line Encyclopedia of Integer Sequences
On-Line Encyclopedia of Integer Sequences: Given an integer sequence, find its name, and formula. (Number Theory)
http://www.research.att.com/~njas/sequences/eisonline.html |
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MathWorld Number Theory
MathWorld Number Theory: Index to articles in Eric Weisstein's MathWorld in the area of number theory. (Number Theory)
http://mathworld.wolfram.com/topics/NumberTheory.html |
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Online Seminar: Galois theory of p-Extensions
Online Seminar: Galois theory of p-Extensions: Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch. (Number Theory)
http://public.csusm.edu/public/fhajir/kochbook.html |
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Klein Polyhedra
Klein Polyhedra: Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs. (Number Theory)
http://members.lycos.co.uk/keithmbriggs/klein-polyhedra.html |
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Number Theory Web
Number Theory Web: Things of interest to number theorists collected by Keith Matthews. (Number Theory)
http://www.numbertheory.org/ntw/ |
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Fermat's Little Theorem
Fermat's Little Theorem: With notes on Carmichael numbers and the life of R.D. Carmichael. (Number Theory)
http://www.geocities.com/Paris/Rue/1861/FermLit.html |
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Infinite Series Theorem
Infinite Series Theorem: Addresses the question whether a series of rational functions converges to a rational number. (Number Theory)
http://www.infiniteseriestheorem.org/ |
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Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function: Lecture notes by Alain Connes. (Number Theory)
http://www.math.ohio-state.edu/connes/Connes_course.html |
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Linear Independence Measures for Logarithms of Algebraic Numbers
Linear Independence Measures for Logarithms of Algebraic Numbers: Michel Waldschmidt. Cetraro summer school lectures, July 2000. (Number Theory)
http://www.mathp6.jussieu.fr/~miw/articles/cetraro.html |
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Somos Polynomials
Somos Polynomials: Related to Somos sequences and elliptic theta functions. (Number Theory)
http://grail.cba.csuohio.edu/~somos/somospol.html |
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Three Years of Computing
Three Years of Computing: Palindrome Quest. Reporting computations on the 196 problem. (Number Theory)
http://www.fourmilab.ch/documents/threeyears/threeyears.html |
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Other Maths
Other Maths: A wide selection of number theory topics compiled by Jon Perry. (Number Theory)
http://www.users.globalnet.co.uk/~perry/maths/othermaths.htm |
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MathPages: Number Theory
MathPages: Number Theory: Kevin Brown's collection of sci.math postings related to number theory topics. (Number Theory)
http://www.mathpages.com/home/inumber.htm |
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Some Number-Theoretical Constants
Some Number-Theoretical Constants: Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree. (Number Theory)
http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml |
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Visible Structures in Number Theory
Visible Structures in Number Theory: By Peter Borwein and Loki Jörgenson. Recognising number patterns visually. (Number Theory)
http://www.cecm.sfu.ca/~loki/Papers/Numbers/ |
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A Mechanical Proof of Quadratic Reciprocity
A Mechanical Proof of Quadratic Reciprocity: A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Quadratic Reciprocity. PS/PDF. (Number Theory)
http://www.onr.com/user/russ/david/gauss.html |
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Introduction to Bernoulli Numbers
Introduction to Bernoulli Numbers: A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS). (Number Theory)
http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html |
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Number Theory
Number Theory: Proofs along with equation solvers and graphical views written in Java. (Number Theory)
http://www.alpertron.com.ar/NUMBERT.HTM |
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Square-free Gaps
Square-free Gaps: Algorithm and source code for the calculation of square-free numbers and gaps. (Number Theory)
http://www.marmet.ca/louis/sqfgap/ |
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2^n Modulo n
2^n Modulo n: Joe Crump's results on values of n with prescribed values of 2^n modulo n. (Number Theory)
http://www.spacefire.com/numbertheory/2nmodn.htm |
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Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory: By Paul Garrett. (Number Theory)
http://www.math.umn.edu/~garrett/m/v/ |
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The Somos Sequence Site
The Somos Sequence Site: Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences. (Number Theory)
http://www.math.wisc.edu/~propp/somos.html |
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The Canadian Number Theory Association
The Canadian Number Theory Association: A loosely defined group of individuals, mainly in Canada, active in research in Number Theory. (Number Theory)
http://members.rogers.com/superprof/cnta.html |
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Covers, Sumsets and Zero-sums
Covers, Sumsets and Zero-sums: A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun. (Number Theory)
http://pweb.nju.edu.cn/zwsun/csz.htm |
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Application of Digital Root
Application of Digital Root: A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh. (Number Theory)
http://www.geocities.com/bappan420/ |
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The Valuation Theory Home Page
The Valuation Theory Home Page: A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. (Number Theory)
http://math.usask.ca/fvk/Valth.html |
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Transcendental Numbers
Transcendental Numbers: Maple worksheets, lecture notes and links to other resources by John Cosgrove. (Number Theory)
http://www.spd.dcu.ie/johnbcos/transcendental_numbers.htm |
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The Work of Robert Langlands
The Work of Robert Langlands: Thesis, papers, manuscripts, letters and bibliography. (Number Theory)
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html |
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Number Theory Glossary
Number Theory Glossary: Compiled by Robert Campbell. (Number Theory)
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html |
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L-Functions
L-Functions: Classified by degree, then by level, then by eigenvalue, then by root number. (Number Theory)
http://www.math.okstate.edu/~loriw/start/start.html |
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Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients
Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients: A web paper by Ronald Bruck. (Number Theory)
http://mathlab.usc.edu/~bruck/research/stirling/ |