Number Theory Math

Number Theory

It addresses problems about integer and rational numbers. It includes congruences, divisibility, primes, etc. and the famous Fermat Last Theorem.

• Top/Science/Math/Geometry/Algebraic Geometry

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

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