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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.
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Interactive (Javascript) expression of a number as a sum of two squares.
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Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.
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A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
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A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
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With notes on Carmichael numbers and the life of R.D. Carmichael.
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Number Theory section of the sci.math FAQ list.
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Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
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Addresses the question whether a series of rational functions converges to a rational number.
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To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.
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A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).
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Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
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That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
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Michel Waldschmidt. Cetraro summer school lectures, July 2000.
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Kevin Brown's collection of sci.math postings related to number theory topics.
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Index to articles in Eric Weisstein's MathWorld in the area of number theory.
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Lecture notes by Alain Connes.
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Proofs along with equation solvers and graphical views written in Java.
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Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
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Compiled by Robert Campbell.
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Things of interest to number theorists collected by Keith Matthews.
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Identify a sequence by entering few terms in the sequence. Additional information includes examples, formulas, and related links.
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Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
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Lecture notes and resources on combinatorial number theory by Terence Tao.
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Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
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Related to Somos sequences and elliptic theta functions.
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Algorithm and source code for the calculation of square-free numbers and gaps.
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Activated text by Andrew Granville.
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A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
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A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.
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Thesis, papers, manuscripts, letters and bibliography.
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Maple worksheets, lecture notes and links to other resources by John Cosgrove.
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By Paul Garrett.
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By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
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The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
