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Number Theory Sites:

Number Theory Foundation Number Theory Foundation
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/
Somos Polynomials Somos Polynomials
Somos Polynomials Related to Somos sequences and elliptic theta functions.
http://grail.cba.csuohio.edu/~somos/somospol.html
Transcendental Numbers Transcendental Numbers
Transcendental Numbers Maple worksheets, lecture notes and links to other resources by John Cosgrove.
http://www.spd.dcu.ie/johnbcos/transcendental_numbers.htm
On-Line Encyclopedia of Integer Sequences On-Line Encyclopedia of Integer Sequences
On-Line Encyclopedia of Integer Sequences Given an integer sequence, find its name, and formula.
http://www.research.att.com/~njas/sequences/eisonline.html
Number Theory Number Theory
Number Theory Dave Rusin's guide to number theory.
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
Square-free Gaps Square-free Gaps
Square-free Gaps Algorithm and source code for the calculation of square-free numbers and gaps.
http://www.marmet.ca/louis/sqfgap/
The Valuation Theory Home Page The Valuation Theory Home Page
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
Some Number-Theoretical Constants Some Number-Theoretical Constants
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
Klein Polyhedra Klein Polyhedra
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
MathPages: Number Theory MathPages: Number Theory
MathPages: Number Theory Kevin Brown's collection of sci.math postings related to number theory topics.
http://www.mathpages.com/home/inumber.htm
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory By Paul Garrett.
http://www.math.umn.edu/~garrett/m/v/
Hakmem Continued Fractions Hakmem Continued Fractions
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
The Arithmetic Properties of Binomial Coefficients The Arithmetic Properties of Binomial Coefficients
The Arithmetic Properties of Binomial Coefficients Activated text by Andrew Granville.
http://www.cecm.sfu.ca/organics/papers/granville/index.html
The Work of Robert Langlands The Work of Robert Langlands
The Work of Robert Langlands Thesis, papers, manuscripts, letters and bibliography.
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
The Somos Sequence Site The Somos Sequence Site
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
A Mechanical Proof of Quadratic Reciprocity A Mechanical Proof of Quadratic Reciprocity
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
Introduction to p-Adic Analytic Number Theory Introduction to p-Adic Analytic Number Theory
Introduction to p-Adic Analytic Number Theory Notes of a short course at the Mehta Research Institute by M. Ram Murty.
http://www.mri.ernet.in/~mathweb/lecture/murty-padic00/
Covers, Sumsets and Zero-sums Covers, Sumsets and Zero-sums
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
About Two Months of Computing About Two Months of Computing
About Two Months of Computing Work on the 196 palindrome problem by Tim Irvin.
http://www.fourmilab.ch/documents/threeyears/two_months_more.html
MathWorld Number Theory MathWorld Number Theory
MathWorld Number Theory Index to articles in Eric Weisstein's MathWorld in the area of number theory.
http://mathworld.wolfram.com/topics/NumberTheory.html
Online Seminar: Galois theory of p-Extensions Online Seminar: Galois theory of p-Extensions
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
Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients
Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients A web paper by Ronald Bruck.
http://mathlab.usc.edu/~bruck/research/stirling/
Number Theory Web Number Theory Web
Number Theory Web Things of interest to number theorists collected by Keith Matthews.
http://www.numbertheory.org/ntw/
World Records for Numerical Palindromes World Records for Numerical Palindromes
World Records for Numerical Palindromes The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
http://www.jasondoucette.com/worldrecords.html
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function Lecture notes by Alain Connes.
http://www.math.ohio-state.edu/connes/Connes_course.html
Fermat's Little Theorem Fermat's Little Theorem
Fermat's Little Theorem With notes on Carmichael numbers and the life of R.D. Carmichael.
http://www.geocities.com/Paris/Rue/1861/FermLit.html
Integer Relations Integer Relations
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/
The Canadian Number Theory Association The Canadian Number Theory Association
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
Other Maths Other Maths
Other Maths A wide selection of number theory topics compiled by Jon Perry.
http://www.users.globalnet.co.uk/~perry/maths/othermaths.htm
Introduction to Bernoulli Numbers Introduction to Bernoulli Numbers
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
Infinite Series Theorem Infinite Series Theorem
Infinite Series Theorem Addresses the question whether a series of rational functions converges to a rational number.
http://www.infiniteseriestheorem.org/
Lehmer's Conjecture Lehmer's Conjecture
Lehmer's Conjecture That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
http://www.math.ucla.edu/~mjm/lc/lc.html
Visible Structures in Number Theory Visible Structures in Number Theory
Visible Structures in Number Theory By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
http://www.cecm.sfu.ca/~loki/Papers/Numbers/
Frequently Asked Questions Frequently Asked Questions
Frequently Asked Questions Number Theory section of the sci.math FAQ list.
http://www.cs.unb.ca/~alopez-o/math-faq/node21.html#SECTION00400000000000000000
L-Functions L-Functions
L-Functions Classified by degree, then by level, then by eigenvalue, then by root number.
http://www.math.okstate.edu/~loriw/start/start.html
Number Theory Glossary Number Theory Glossary
Number Theory Glossary Compiled by Robert Campbell.
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
2^n Modulo n 2^n Modulo n
2^n Modulo n Joe Crump's results on values of n with prescribed values of 2^n modulo n.
http://www.spacefire.com/numbertheory/2nmodn.htm
Linear Independence Measures for Logarithms of Algebraic Numbers Linear Independence Measures for Logarithms of Algebraic Numbers
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
Application of Digital Root Application of Digital Root
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/
Three Years of Computing Three Years of Computing
Three Years of Computing Palindrome Quest. Reporting computations on the 196 problem.
http://www.fourmilab.ch/documents/threeyears/threeyears.html

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