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Search Home : Science : Math : Number Theory
See Also:
- Number Theory Web: Things of interest to number theorists collected by Keith Matthews.
- 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.
- About Two Months of Computing: Work on the 196 palindrome problem by Tim Irvin.
- Application of Digital Root: A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
- 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).
- Klein Polyhedra: Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
- L-Functions: Classified by degree, then by level, then by eigenvalue, then by root number.
- 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.
- Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function: Lecture notes by Alain Connes.
- Number Theory: Dave Rusin's guide to number theory.
- Number Theory: Proofs along with equation solvers and graphical views written in Java.
- 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.
- Other Maths: A wide selection of number theory topics compiled by Jon Perry.
- 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.
- 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.
- The Somos Sequence Site: Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
- 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.
- The Work of Robert Langlands: Thesis, papers, manuscripts, letters and bibliography.
- Three Years of Computing: Palindrome Quest. Reporting computations on the 196 problem.
- Transcendental Numbers: Maple worksheets, lecture notes and links to other resources by John Cosgrove.
- 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.
- Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients: A web paper by Ronald Bruck.
- World Records for Numerical Palindromes: The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
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