Web Directory

» 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.russinoff.com/papers/gauss.html

» Active Elementary Number Theory
   Interactive (Javascript) expression of a number as a sum of two squares.
   http://www.hbmeyer.de/taupaeng.htm

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

» Australian Numerals Revealed
   Proposes a new way of expressing numbers which makes mathematics easier to learn and quicker to perform.
   http://australiannumerals.org/AustralianNumeralsExplained.html

» Covers, Sumsets and Zero-sums
   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
   With notes on Carmichael numbers and the life of R.D. Carmichael.
   http://www.pballew.net/FermLit.html

» Frequently Asked Questions
   Number Theory section of the sci.math FAQ list.
   http://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.
   http://www.inwap.com/pdp10/hbaker/hakmem/cf.html

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

» L-Functions
   Classified by degree, then by level, then by eigenvalue, then by root number.
   http://www.lfunctions.org/start/start.html

» Lehmer's Conjecture
   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.html

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

» MathWorld Number Theory
   Index to articles in Eric Weisstein's MathWorld in the area of number theory.
   http://mathworld.wolfram.com/topics/NumberTheory.html

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

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

» Number Theory Foundation
   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
   Compiled by Robert Campbell.
   http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html

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

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

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

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

» Square-free Gaps
   Algorithm and source code for the calculation of square-free numbers and gaps.
   http://www.marmet.org/louis/sqfgap/index.html

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

» The Somos Sequence Site
   Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
   http://faculty.uml.edu/jpropp/somos.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://math.usask.ca/fvk/Valth.html

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

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

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

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