Number Theory

Active Elementary Number Theory - Interactive (Javascript) expression of a number as a sum of two squares.
www.faust.fr.bw.schule.de/mhb/taupaeng.htm

Application of Digital Root - A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
www.geocities.com/bappan420/

The Arithmetic Properties of Binomial Coefficients - Activated text by Andrew Granville.
www.cecm.sfu.ca/organics/papers/granville/index.html

The Canadian Number Theory Association - A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
ca.geocities.com/gary.walsh@rogers.com/cnta.html

Covers, Sumsets and Zero-sums - A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
math.nju.edu.cn/~zwsun/csz.htm

Fermat's Little Theorem - With notes on Carmichael numbers and the life of R.D. Carmichael.
www.pballew.net/FermLit.html

Frequently Asked Questions - Number Theory section of the sci.math FAQ list.
db.uwaterloo.ca/~alopez-o/math-faq/node21.html

Hakmem Continued Fractions - Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
www.inwap.com/pdp10/hbaker/hakmem/cf.html

Infinite Series Theorem - Addresses the question whether a series of rational functions converges to a rational number.
www.infiniteseriestheorem.org/

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

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).
numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html

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

Lehmer's Conjecture - That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
www.cecm.sfu.ca/~mjm/Lehmer/lc.html

L-Functions - Classified by degree, then by level, then by eigenvalue, then by root number.
www.math.okstate.edu/~loriw/start/start.html

Linear Independence Measures for Logarithms of Algebraic Numbers - Michel Waldschmidt. Cetraro summer school lectures, July 2000.
www.mathp6.jussieu.fr/~miw/articles/cetraro.html

MathPages: Number Theory - Kevin Brown's collection of sci.math postings related to number theory topics.
www.mathpages.com/home/inumber.htm

MathWorld Number Theory - Index to articles in Eric Weisstein's MathWorld in the area of number theory.
mathworld.wolfram.com/topics/NumberTheory.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.
www.russinoff.com/papers/gauss.html

Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function - Lecture notes by Alain Connes.
www.math.ohio-state.edu/lectures/connes/Connes_course.html

Number Theory - Proofs along with equation solvers and graphical views written in Java.
www.alpertron.com.ar/NUMBERT.HTM

Number Theory - Dave Rusin's guide to number theory.
www.math.niu.edu/~rusin/known-math/index/11-XX.html

Number Theory Foundation - Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
www.math.uiuc.edu/ntf/

Number Theory Glossary - Compiled by Robert Campbell.
www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html

On-Line Encyclopedia of Integer Sequences - Given an integer sequence, find its name, and formula.
www.research.att.com/~njas/sequences/

Online Seminar: Galois theory of p-Extensions - Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
public.csusm.edu/public/fhajir/kochbook.html

Some Highlights of Arithmetic Combinatorics - Lecture notes and resources on combinatorial number theory by Terence Tao.
www.math.ucla.edu/~tao/254a.1.03w/

Some Number-Theoretical Constants - Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml

Somos Polynomials - Related to Somos sequences and elliptic theta functions.
grail.cba.csuohio.edu/~somos/somospol.html

The Somos Sequence Site - Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
www.math.wisc.edu/~propp/somos.html

Square-free Gaps - Algorithm and source code for the calculation of square-free numbers and gaps.
www.marmet.ca/louis/sqfgap/

Transcendental Numbers - Maple worksheets, lecture notes and links to other resources by John Cosgrove.
services.spd.dcu.ie/johnbcos/transcendental_numbers.htm

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.
math.usask.ca/fvk/Valth.html

Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory - By Paul Garrett.
www.math.umn.edu/~garrett/m/v/

Visible Structures in Number Theory - By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
www.cecm.sfu.ca/~loki/Papers/Numbers/

The Work of Robert Langlands - Thesis, papers, manuscripts, letters and bibliography.
www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html

World Records for Numerical Palindromes - The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
www.jasondoucette.com/worldrecords.html