See also:

• Science: Math: Geometry: Algebraic Geometry  (87)

Number Theory Web     www.numbertheory.org/ntw Things of interest to number theorists collected by Keith Matthews.

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

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

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

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

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

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

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

Integer Relations  oldweb.cecm.sfu.ca/~aszanto/IntegerRelations To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.

Introduction to Bernoulli Numbers  numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).

An Introduction to the Theory of Numbers by Leo Moser  www.trillia.com/moser-number.html Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.

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

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

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

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

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

A Mechanical Proof of Quadratic Reciprocity  www.russinoff.com/papers/gauss.html 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.

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

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

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

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

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

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

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

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

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

The Somos Sequence Site  faculty.uml.edu/jpropp/somos.html Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.

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

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

The Valuation Theory Home Page  math.usask.ca/fvk/Valth.html A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.

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

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

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