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Number Theory
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Dave Rusin's guide to number theory.
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Visible Structures in Number Theory
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By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
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The Somos Sequence Site
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Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
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The Arithmetic Properties of Binomial Coefficients
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Activated text by Andrew Granville.
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The Work of Robert Langlands
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Thesis, papers, manuscripts, letters and bibliography.
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Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
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By Paul Garrett.
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Number Theory Glossary
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Compiled by Robert Campbell.
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Somos Polynomials
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Related to Somos sequences and elliptic theta functions.
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Some Number-Theoretical Constants
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Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
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Square-free Gaps
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Algorithm and source code for the calculation of square-free numbers and gaps.
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L-Functions
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Classified by degree, then by level, then by eigenvalue, then by root number.
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The Valuation Theory Home Page
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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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Online Seminar: Galois theory of p-Extensions
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Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
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MathPages: Number Theory
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Kevin Brown's collection of sci.math postings related to number theory topics.
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MathWorld Number Theory
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Index to articles in Eric Weisstein's MathWorld in the area of number theory.
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Application of Digital Root
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A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
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World Records for Numerical Palindromes
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The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
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Klein Polyhedra
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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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Covers, Sumsets and Zero-sums
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A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
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Infinite Series Theorem
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Addresses the question whether a series of rational functions converges to a rational number.
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Number Theory Web
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Things of interest to number theorists collected by Keith Matthews.
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Number Theory Foundation
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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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Hakmem Continued Fractions
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Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
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Number Theory
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Proofs along with equation solvers and graphical views written in Java.
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Linear Independence Measures for Logarithms of Algebraic Numbers
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Michel Waldschmidt. Cetraro summer school lectures, July 2000.
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A Mechanical Proof of Quadratic Reciprocity
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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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Introduction to Bernoulli Numbers
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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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Transcendental Numbers
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Maple worksheets, lecture notes and links to other resources by John Cosgrove.
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Other Maths
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A wide selection of number theory topics compiled by Jon Perry.
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Some Highlights of Arithmetic Combinatorics
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Lecture notes and resources on combinatorial number theory by Terence Tao.
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Fermat's Little Theorem
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With notes on Carmichael numbers and the life of R.D. Carmichael.
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Frequently Asked Questions
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Number Theory section of the sci.math FAQ list.
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Lehmer's Conjecture
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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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Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
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Lecture notes by Alain Connes.
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On-Line Encyclopedia of Integer Sequences
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Given an integer sequence, find its name, and formula.
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Active Elementary Number Theory
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Interactive (Javascript) expression of a number as a sum of two squares.
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The Canadian Number Theory Association
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A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
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Integer Relations
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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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On-Line Encyclopedia of Integer Sequences
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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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The Valuation Theory Home Page
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A forum for all mathematicians who work in or use valuation theory. Directory of people, meetings, preprints, bibliography, open problems and news.
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