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Science
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Math
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Number Theory
Chats and Forums
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Algebraic
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Analytic
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Computational
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Diophantine Equations
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Elliptic Curves and Modular Forms
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Factoring
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Prime Numbers
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38 sites in Number Theory
Number Theory Web
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Things of interest to number theorists collected by Keith Matthews.
http://www.numbertheory.org/ntw/
A Mechanical Proof of Quadratic Reciprocity
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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.
http://www.russinoff.com/papers/gauss...
Active Elementary Number Theory
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Interactive (Javascript) expression of a number as a sum of two squares.
http://www.faust.fr.bw.schule.de/mhb/...
Application of Digital Root
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A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
http://www.geocities.com/bappan420/
Covers, Sumsets and Zero-sums
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A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
http://math.nju.edu.cn/~zwsun/csz.htm
Fermat's Little Theorem
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With notes on Carmichael numbers and the life of R.D. Carmichael.
http://www.pballew.net/FermLit.html
Frequently Asked Questions
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Number Theory section of the sci.math FAQ list.
http://db.uwaterloo.ca/~alopez-o/math...
Hakmem Continued Fractions
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Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
http://www.inwap.com/pdp10/hbaker/hak...
Infinite Series Theorem
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Addresses the question whether a series of rational functions converges to a rational number.
http://www.infiniteseriestheorem.org/
Integer Relations
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To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.
http://oldweb.cecm.sfu.ca/~aszanto/In...
Introduction to Bernoulli Numbers
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A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).
http://numbers.computation.free.fr/Co...
Klein Polyhedra
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Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
http://keithbriggs.info/klein-polyhed...
L-Functions
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Classified by degree, then by level, then by eigenvalue, then by root number.
http://www.math.okstate.edu/~loriw/st...
Lehmer's Conjecture
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That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
http://www.cecm.sfu.ca/~mjm/Lehmer/lc...
Linear Independence Measures for Logarithms of Algebraic Numbers
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Michel Waldschmidt. Cetraro summer school lectures, July 2000.
http://www.mathp6.jussieu.fr/~miw/art...
MathPages: Number Theory
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Kevin Brown's collection of sci.math postings related to number theory topics.
http://www.mathpages.com/home/inumber...
MathWorld Number Theory
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Index to articles in Eric Weisstein's MathWorld in the area of number theory.
http://mathworld.wolfram.com/topics/N...
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
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Lecture notes by Alain Connes.
http://www.math.ohio-state.edu/lectur...
Number Theory
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Dave Rusin's guide to number theory.
http://www.math.niu.edu/~rusin/known-...
Number Theory
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Proofs along with equation solvers and graphical views written in Java.
http://www.alpertron.com.ar/NUMBERT.HTM
Number Theory Foundation
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Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
http://www.math.uiuc.edu/ntf/
Number Theory Glossary
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Compiled by Robert Campbell.
http://www.math.umbc.edu/~campbell/Nu...
On-Line Encyclopedia of Integer Sequences
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Given an integer sequence, find its name, and formula.
http://www.research.att.com/~njas/seq...
Online Seminar: Galois theory of p-Extensions
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Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
http://public.csusm.edu/public/fhajir...
Other Maths
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A wide selection of number theory topics compiled by Jon Perry.
http://www.users.globalnet.co.uk/~per...
Some Highlights of Arithmetic Combinatorics
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Lecture notes and resources on combinatorial number theory by Terence Tao.
http://www.math.ucla.edu/~tao/254a.1....
Some Number-Theoretical Constants
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Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
http://www.gn-50uma.de/alula/essays/M...
Somos Polynomials
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Related to Somos sequences and elliptic theta functions.
http://grail.cba.csuohio.edu/~somos/s...
Square-free Gaps
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Algorithm and source code for the calculation of square-free numbers and gaps.
http://www.marmet.ca/louis/sqfgap/
The Arithmetic Properties of Binomial Coefficients
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Activated text by Andrew Granville.
http://www.cecm.sfu.ca/organics/paper...
The Canadian Number Theory Association
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A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
http://ca.geocities.com/gary.walsh@ro...
The Somos Sequence Site
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Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
http://www.math.wisc.edu/~propp/somos...
The Valuation Theory Home Page
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A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.
http://math.usask.ca/fvk/Valth.html
The Work of Robert Langlands
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Thesis, papers, manuscripts, letters and bibliography.
http://www.sunsite.ubc.ca/DigitalMath...
Transcendental Numbers
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Maple worksheets, lecture notes and links to other resources by John Cosgrove.
http://services.spd.dcu.ie/johnbcos/t...
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
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By Paul Garrett.
http://www.math.umn.edu/~garrett/m/v/
Visible Structures in Number Theory
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By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
http://www.cecm.sfu.ca/~loki/Papers/N...
World Records for Numerical Palindromes
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The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
http://www.jasondoucette.com/worldrec...
See also
Science: Math: Geometry: Algebraic Geometry
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The category Number Theoryin other languages
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