It addresses problems about integer and rational numbers. It includes congruences, divisibility, primes, etc. and the famous Fermat Last Theorem....
This page was last updated on October 4th, 2008
This page was last updated on October 4th, 2008
Number Theory (from Math)
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Linear Independence Measures for Logarithms of Algebraic Numbers
Michel Waldschmidt. Cetraro summer school lectures, July 2000.
Transcendental Numbers
Maple worksheets, lecture notes and links to other resources by John Cosgrove.
2^n Modulo n
Joe Crump's results on values of n with prescribed values of 2^n modulo n.
On-Line Encyclopedia of Integer Sequences
Given an integer sequence, find its name, and formula.
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.
World Records for Numerical Palindromes
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
MathPages: Number Theory
Kevin Brown's collection of sci.math postings related to number theory topics.
Other Maths
A wide selection of number theory topics compiled by Jon Perry.
Covers, Sumsets and Zero-sums
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
By Paul Garrett.
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
Lecture notes by Alain Connes.
Hakmem Continued Fractions
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
Frequently Asked Questions
Number Theory section of the sci.math FAQ list.
Klein Polyhedra
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
Application of Digital Root
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
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.
Infinite Series Theorem
Addresses the question whether a series of rational functions converges to a rational number.
Lehmer's Conjecture
That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
About Two Months of Computing
Work on the 196 palindrome problem by Tim Irvin.
Number Theory
Dave Rusin's guide to number theory.
Number Theory Web
Things of interest to number theorists collected by Keith Matthews.
Somos Polynomials
Related to Somos sequences and elliptic theta functions.
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).
L-Functions
Classified by degree, then by level, then by eigenvalue, then by root number.
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.
MathWorld Number Theory
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
The Work of Robert Langlands
Thesis, papers, manuscripts, letters and bibliography.
Square-free Gaps
Algorithm and source code for the calculation of square-free numbers and gaps.
Some Number-Theoretical Constants
Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
Fermat's Little Theorem
With notes on Carmichael numbers and the life of R.D. Carmichael.
Online Seminar: Galois theory of p-Extensions
Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
Number Theory Glossary
Compiled by Robert Campbell.
Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients
A web paper by Ronald Bruck.
Visible Structures in Number Theory
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
Number Theory Foundation
Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
Three Years of Computing
Palindrome Quest. Reporting computations on the 196 problem.
The Arithmetic Properties of Binomial Coefficients
Activated text by Andrew Granville.
Introduction to p-Adic Analytic Number Theory
Notes of a short course at the Mehta Research Institute by M. Ram Murty.
The Somos Sequence Site
Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
The Canadian Number Theory Association
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
Michel Waldschmidt. Cetraro summer school lectures, July 2000.
Maple worksheets, lecture notes and links to other resources by John Cosgrove.
Joe Crump's results on values of n with prescribed values of 2^n modulo n.
Given an integer sequence, find its name, and formula.
A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
Kevin Brown's collection of sci.math postings related to number theory topics.
A wide selection of number theory topics compiled by Jon Perry.
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
By Paul Garrett.
Lecture notes by Alain Connes.
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
Number Theory section of the sci.math FAQ list.
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
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.
That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
Work on the 196 palindrome problem by Tim Irvin.
Dave Rusin's guide to number theory.
Things of interest to number theorists collected by Keith Matthews.
Related to Somos sequences and elliptic theta functions.
A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).
Classified by degree, then by level, then by eigenvalue, then by root number.
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.
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
Thesis, papers, manuscripts, letters and bibliography.
Algorithm and source code for the calculation of square-free numbers and gaps.
Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
With notes on Carmichael numbers and the life of R.D. Carmichael.
Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
Compiled by Robert Campbell.
A web paper by Ronald Bruck.
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
Palindrome Quest. Reporting computations on the 196 problem.
Activated text by Andrew Granville.
Notes of a short course at the Mehta Research Institute by M. Ram Murty.
Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
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