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Elliptic Curves and Modular Forms (65)
Factoring (48)
Prime Numbers (73)

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Science: Math: Geometry: Algebraic Geometry (107)

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» Number Theory Web

- Things of interest to number theorists collected by Keith Matthews.

» Active Elementary Number Theory - Interactive (Javascript) expression of a number as a sum of two squares.

» Application of Digital Root - A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.

http://www.cecm.sfu.ca/organics/papers/granville/index.html

» The Arithmetic Properties of Binomial Coefficients - Activated text by Andrew Granville.

http://ca.geocities.com/gary.walsh@rogers.com/cnta.html

» The Canadian Number Theory Association - A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.

$http://math.nju.edu.cn/~zwsun/csz.htm$

» Covers, Sumsets and Zero-sums - A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.

» Fermat's Little Theorem - With notes on Carmichael numbers and the life of R.D. Carmichael.

$http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html$

» Frequently Asked Questions - Number Theory section of the sci.math FAQ list.

http://www.inwap.com/pdp10/hbaker/hakmem/cf.html

» Hakmem Continued Fractions - Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.

» Infinite Series Theorem - Addresses the question whether a series of rational functions converges to a rational number.

http://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/

» 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.

http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html

» 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).

http://www.trillia.com/moser-number.html

» An 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.

http://keithbriggs.info/klein-polyhedra.html

» Klein Polyhedra - Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.

http://www.cecm.sfu.ca/~mjm/Lehmer/lc.html

» Lehmer's Conjecture - That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.

http://www.mathpages.com/home/inumber.htm

» MathPages: Number Theory - Kevin Brown's collection of sci.math postings related to number theory topics.

http://mathworld.wolfram.com/topics/NumberTheory.html

» MathWorld Number Theory - Index to articles in Eric Weisstein's MathWorld in the area of number theory.

http://www.russinoff.com/papers/gauss.html

» 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.

$http://www.math.ohio-state.edu/lectures/connes/Connes_course.html$

» Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function - Lecture notes by Alain Connes.

» Number Theory - Proofs along with equation solvers and graphical views written in Java.

$http://www.math.niu.edu/~rusin/known-math/index/11-XX.html$

» Number Theory - Dave Rusin's guide to number theory.

$http://www.math.uiuc.edu/ntf/$

» Number Theory Foundation - Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.

$http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html$

» Number Theory Glossary - Compiled by Robert Campbell.

http://www.research.att.com/~njas/sequences/

» On-Line Encyclopedia of Integer Sequences - Given an integer sequence, find its name, and formula.

http://public.csusm.edu/public/fhajir/kochbook.html

» Online Seminar: Galois theory of p-Extensions - Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.

$http://www.math.ucla.edu/~tao/254a.1.03w/$

» Some Highlights of Arithmetic Combinatorics - Lecture notes and resources on combinatorial number theory by Terence Tao.

http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml

» Some Number-Theoretical Constants - Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.

http://grail.cba.csuohio.edu/~somos/somospol.html

» Somos Polynomials - Related to Somos sequences and elliptic theta functions.

http://www.marmet.org/louis/sqfgap/index.html

» Square-free Gaps - Algorithm and source code for the calculation of square-free numbers and gaps.

http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm

» Transcendental Numbers - Maple worksheets, lecture notes and links to other resources by John Cosgrove.

$http://math.usask.ca/fvk/Valth.html$

» 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.

$http://www.math.umn.edu/~garrett/m/v/$

» Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory - By Paul Garrett.

http://www.cecm.sfu.ca/~loki/Papers/Numbers/

» Visible Structures in Number Theory - By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.

http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html

» The Work of Robert Langlands - Thesis, papers, manuscripts, letters and bibliography.

http://www.jasondoucette.com/worldrecords.html

» World Records for Numerical Palindromes - The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.