Algebraic
A Brief Introduction to Classical and Adelic Algebraic Number Theory, Algebraic Number Theory, Algebraic Number Theory, Algebraic Number Theory, ...
more ...
|
Analytic
Riemann Hypothesis
more ...
|
|
|
|
Chats and Forums
Archives of Number Theory List, FermatNumbers, goldbach, numbertheory, PrimeForm, Primenumbers, SeqFan Mailing List, Somos Sequence Mailing List Archive
more ...
|
Computational
Algorithm Design Manual - Number Theoretic Algorithms, Algorithmic Number Theory, Basics of Computational Number Theory, Computational Number Theory, ...
more ...
|
Diophantine Equations
Equal Sums of Like Powers, Fermat's Last Theorem
more ...
|
Education
A Collection of Lecture Notes, A Self-learning Package in Elementary Number Theory, Course Notes by Jim Milne, Courses and Lecture Notes in Number Theory, ...
more ...
|
Elliptic Curves and Modular Forms
Software, Tables
more ...
|
Events
Past Events, Series
more ...
|
Factoring
Division Rules, Perfect Numbers, Tables
more ...
|
History
A Guide to the Emil Grosswald Papers, Euler's Contribution To Number Theory, Fermat's Little Theorem, Historical Essays in Number Theory, ...
more ...
|
Open Problems
ABC Conjecture, Catalan Conjecture, Collatz Problem, Goldbach Conjecture
more ...
|
People
A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z
more ...
|
Prime Numbers
Mersenne, Primality Tests
more ...
|
Publications
Bibliographies, Books, Journals, Preprint Archives, Theses
more ...
|
Research Groups
(Austria) Technical University of Graz, (Austria) University of Natural Resources, Vienna, (Austria) University of Vienna, ...
more ...
|
Software
Pari-GP, UBASIC
more ...
|
Tables
Algorithmic Number Theory: Tables and Links, Algorithms for Solving Index Form Equations and Computing Power Integral Bases, ...
more ...
|
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.
http://www.onr.com/user/russ/david/gauss.html
|
About Two Months of Computing
Work on the 196 palindrome problem by Tim Irvin.
http://www.fourmilab.ch/documents/threeyears/two_months_more.html
|
Active Elementary Number Theory
Interactive (Javascript) expression of a number as a sum of two squares.
http://www.faust.fr.bw.schule.de/mhb/taupaeng.htm
|
Application of Digital Root
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
http://www.geocities.com/bappan420/
|
Covers, Sumsets and Zero-sums
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
http://pweb.nju.edu.cn/zwsun/csz.htm
|
Fermat's Little Theorem
With notes on Carmichael numbers and the life of R.D. Carmichael.
http://www.pballew.net/FermLit.html
|
Frequently Asked Questions
Number Theory section of the sci.math FAQ list.
http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html
|
Hakmem Continued Fractions
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
|
Infinite Series Theorem
Addresses the question whether a series of rational functions converges to a rational number.
http://www.infiniteseriestheorem.org/
|
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.
http://www.cecm.sfu.ca/projects/IntegerRelations/
|
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).
http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html
|
Klein Polyhedra
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
http://members.lycos.co.uk/keithmbriggs/klein-polyhedra.html
|
Lehmer's Conjecture
That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
http://www.cecm.sfu.ca/~mjm/Lehmer/lc.html
|
L-Functions
Classified by degree, then by level, then by eigenvalue, then by root number.
http://www.math.okstate.edu/~loriw/start/start.html
|
Linear Independence Measures for Logarithms of Algebraic Numbers
Michel Waldschmidt. Cetraro summer school lectures, July 2000.
http://www.mathp6.jussieu.fr/~miw/articles/cetraro.html
|
MathPages: Number Theory
Kevin Brown's collection of sci.math postings related to number theory topics.
http://www.mathpages.com/home/inumber.htm
|
MathWorld Number Theory
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
http://mathworld.wolfram.com/topics/NumberTheory.html
|
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
Lecture notes by Alain Connes.
http://www.math.ohio-state.edu/lectures/connes/Connes_course.html
|
Number Theory
Dave Rusin's guide to number theory.
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
|
Number Theory
Proofs along with equation solvers and graphical views written in Java.
http://www.alpertron.com.ar/NUMBERT.HTM
|
Number Theory Foundation
Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
http://www.math.uiuc.edu/ntf/
|
Number Theory Glossary
Compiled by Robert Campbell.
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
|
Number Theory Web
Things of interest to number theorists collected by Keith Matthews.
http://www.numbertheory.org/ntw/
|
On-Line Encyclopedia of Integer Sequences
Given an integer sequence, find its name, and formula.
http://www.research.att.com/~njas/sequences/
|
Online Seminar: Galois theory of p-Extensions
Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
http://public.csusm.edu/public/fhajir/kochbook.html
|
Other Maths
A wide selection of number theory topics compiled by Jon Perry.
http://www.users.globalnet.co.uk/~perry/maths/othermaths.htm
|
Some Highlights of Arithmetic Combinatorics
Lecture notes and resources on combinatorial number theory by Terence Tao.
http://www.math.ucla.edu/~tao/254a.1.03w/
|
Some Number-Theoretical Constants
Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml
|
Somos Polynomials
Related to Somos sequences and elliptic theta functions.
http://grail.cba.csuohio.edu/~somos/somospol.html
|
Square-free Gaps
Algorithm and source code for the calculation of square-free numbers and gaps.
http://www.marmet.ca/louis/sqfgap/
|
The Arithmetic Properties of Binomial Coefficients
Activated text by Andrew Granville.
http://www.cecm.sfu.ca/organics/papers/granville/index.html
|
The Canadian Number Theory Association
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
http://members.rogers.com/superprof/cnta.html
|
The Somos Sequence Site
Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
http://www.math.wisc.edu/~propp/somos.html
|
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.
http://math.usask.ca/fvk/Valth.html
|
The Work of Robert Langlands
Thesis, papers, manuscripts, letters and bibliography.
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
|
Three Years of Computing
Palindrome Quest. Reporting computations on the 196 problem.
http://www.fourmilab.ch/documents/threeyears/threeyears.html
|
Transcendental Numbers
Maple worksheets, lecture notes and links to other resources by John Cosgrove.
http://www.spd.dcu.ie/johnbcos/transcendental_numbers.htm
|
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
By Paul Garrett.
http://www.math.umn.edu/~garrett/m/v/
|
Visible Structures in Number Theory
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
http://www.cecm.sfu.ca/~loki/Papers/Numbers/
|
World Records for Numerical Palindromes
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
http://www.jasondoucette.com/worldrecords.html
|
