Chats and Forums 6
Education 14
Events 223
History 6
Open Problems 46
People 424
Publications 69
Research Groups 58
Software 60
Tables 27
Algebraic 11
Analytic 27
Computational 12
Diophantine Equations 46
Elliptic Curves and Modular Forms 67
Factoring 53
Prime Numbers 74
| | Algebraic Geometry - Geometry, Math, Science 113
 Number Theory WebNumber Theory Web
 
Things of interest to number theorists collected by Keith Matthews.
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Active Elementary Number TheoryActive Elementary Number Theory
 Interactive (Javascript) expression of a number as a sum of two squares.
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Application of Digital RootApplication of Digital Root
 A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
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The Arithmetic Properties of Binomial CoefficientsThe Arithmetic Properties of Binomial Coefficients
 Activated text by Andrew Granville.
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The Canadian Number Theory AssociationThe Canadian Number Theory Association
 A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
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Covers, Sumsets and Zero-sumsCovers, Sumsets and Zero-sums
 A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
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Fermat's Little TheoremFermat's Little Theorem
 With notes on Carmichael numbers and the life of R.D. Carmichael.
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Frequently Asked QuestionsFrequently Asked Questions
 Number Theory section of the sci.math FAQ list.
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Hakmem Continued FractionsHakmem Continued Fractions
 Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
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Infinite Series TheoremInfinite Series Theorem
 Addresses the question whether a series of rational functions converges to a rational number.
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Integer RelationsInteger Relations
 To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.
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Introduction to Bernoulli NumbersIntroduction 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).
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An Introduction to the Theory of Numbers by Leo MoserAn Introduction to the Theory of Numbers by Leo Moser
 Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.
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Klein PolyhedraKlein Polyhedra
 Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
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Lehmer's ConjectureLehmer's Conjecture
 That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
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Linear Independence Measures for Logarithms of Algebraic NumbersLinear Independence Measures for Logarithms of Algebraic Numbers
 Michel Waldschmidt. Cetraro summer school lectures, July 2000.
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MathPages: Number TheoryMathPages: Number Theory
 Kevin Brown's collection of sci.math postings related to number theory topics.
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MathWorld Number TheoryMathWorld Number Theory
 Index to articles in Eric Weisstein's MathWorld in the area of number theory.
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A Mechanical Proof of Quadratic ReciprocityA 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.
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Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta FunctionNoncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
 Lecture notes by Alain Connes.
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Number TheoryNumber Theory
 Proofs along with equation solvers and graphical views written in Java.
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Number TheoryNumber Theory
 Dave Rusin's guide to number theory.
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Number Theory FoundationNumber Theory Foundation
 Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
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Number Theory GlossaryNumber Theory Glossary
 Compiled by Robert Campbell.
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On-Line Encyclopedia of Integer SequencesOn-Line Encyclopedia of Integer Sequences
 Given an integer sequence, find its name, and formula.
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Online Seminar: Galois theory of p-ExtensionsOnline Seminar: Galois theory of p-Extensions
 Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
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Some Highlights of Arithmetic CombinatoricsSome Highlights of Arithmetic Combinatorics
 Lecture notes and resources on combinatorial number theory by Terence Tao.
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Some Number-Theoretical ConstantsSome Number-Theoretical Constants
 Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
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Somos PolynomialsSomos Polynomials
 Related to Somos sequences and elliptic theta functions.
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Square-free GapsSquare-free Gaps
 Algorithm and source code for the calculation of square-free numbers and gaps.
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Transcendental NumbersTranscendental Numbers
 Maple worksheets, lecture notes and links to other resources by John Cosgrove.
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The Valuation Theory Home PageThe 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.
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Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number TheoryVignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
 By Paul Garrett.
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Visible Structures in Number TheoryVisible Structures in Number Theory
 By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
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The Work of Robert LanglandsThe Work of Robert Langlands
 Thesis, papers, manuscripts, letters and bibliography.
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World Records for Numerical PalindromesWorld Records for Numerical Palindromes
 The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
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