See also:

• Science: Math: Geometry: Algebraic Geometry  (113)

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.

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

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

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.

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

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.

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.

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).

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.

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

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

Linear Independence Measures for Logarithms of Algebraic Numbers: - Michel Waldschmidt. Cetraro summer school lectures, July 2000.

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

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




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.

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.

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

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

Number Theory Glossary: - Compiled by Robert Campbell.

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

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

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




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

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

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

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

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.

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

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

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

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