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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 On-Line Encyclopedia of Integer Sequences -
Given an integer sequence, find its name, and formula.
http://www.research.att.com/~njas/sequences/ Number Theory Glossary -
Compiled by Robert Campbell.
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.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 Frequently Asked Questions -
Number Theory section of the sci.math FAQ list.
http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html Somos Polynomials -
Related to Somos sequences and elliptic theta functions.
http://grail.cba.csuohio.edu/~somos/somospol.html Covers, Sumsets and Zero-sums -
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
http://math.nju.edu.cn/~zwsun/csz.htm 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://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/ 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 The Work of Robert Langlands -
Thesis, papers, manuscripts, letters and bibliography.
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html The Arithmetic Properties of Binomial Coefficients -
Activated text by Andrew Granville.
http://www.cecm.sfu.ca/organics/papers/granville/index.html MathPages: Number Theory -
Kevin Brown's collection of sci.math postings related to number theory topics.
http://www.mathpages.com/home/inumber.htm 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 -
Addresses the question whether a series of rational functions converges to a rational number.
http://www.infiniteseriestheorem.org/ An Introduction to the Theory of Numbers by Leo Moser -
Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.
http://www.trillia.com/moser-number.html Number Theory -
Proofs along with equation solvers and graphical views written in Java.
http://www.alpertron.com.ar/NUMBERT.HTM The Canadian Number Theory Association -
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
http://ca.geocities.com/gary.walsh@rogers.com/cnta.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 Visible Structures in Number Theory -
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
http://www.cecm.sfu.ca/~loki/Papers/Numbers/ 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/ World Records for Numerical Palindromes -
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
http://www.jasondoucette.com/worldrecords.html 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/ Transcendental Numbers -
Maple worksheets, lecture notes and links to other resources by John Cosgrove.
http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm Klein Polyhedra -
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
http://keithbriggs.info/klein-polyhedra.html Number Theory -
Dave Rusin's guide to number theory.
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html 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.russinoff.com/papers/gauss.html 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 Fermat's Little Theorem -
With notes on Carmichael numbers and the life of R.D. Carmichael.
http://www.pballew.net/FermLit.html Square-free Gaps -
Algorithm and source code for the calculation of square-free numbers and gaps.
http://www.marmet.org/louis/sqfgap/index.html 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/ 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 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 MathWorld Number Theory -
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
http://mathworld.wolfram.com/topics/NumberTheory.html 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 -
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
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