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 DIRECTORY/Science/Tech/Math/Number Theory (1,261)
i0A Mechanical Proof of Quadratic Reciprocity - http://www.russinoff.com/papers/gauss.html - 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.
 
i0Active Elementary Number Theory - http://www.faust.fr.bw.schule.de/mhb/taupaeng.htm - Interactive (Javascript) expression of a number as a sum of two squares.
 
i0An Introduction to the Theory of Numbers by Leo Moser - http://www.trillia.com/moser-number.html - Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.
 
i0Application of Digital Root - http://www.geocities.com/bappan420/ - A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
 
i0Covers, Sumsets and Zero-sums - http://math.nju.edu.cn/~zwsun/csz.htm - A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.
 
i0Fermat's Little Theorem - http://www.pballew.net/FermLit.html - With notes on Carmichael numbers and the life of R.D. Carmichael.
 
i0Frequently Asked Questions - http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html - Number Theory section of the sci.math FAQ list.
 
i0Hakmem Continued Fractions - http://www.inwap.com/pdp10/hbaker/hakmem/cf.html - Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.
 
i0Infinite Series Theorem - http://www.infiniteseriestheorem.org/ - Addresses the question whether a series of rational functions converges to a rational number.
 
i0Integer Relations - http://oldweb.cecm.sfu.ca/~aszanto/IntegerRelations/ - To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.
 
i0Introduction to Bernoulli Numbers - http://numbers.computation.free.fr/Constants/Miscellaneous/bernoulli.html - A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).
 
i0Klein Polyhedra - http://keithbriggs.info/klein-polyhedra.html - Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
 
i0Lehmer's Conjecture - http://www.cecm.sfu.ca/~mjm/Lehmer/lc.html - That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.
 
i0Linear Independence Measures for Logarithms of Algebraic Numbers - http://www.mathp6.jussieu.fr/~miw/articles/cetraro.html - Michel Waldschmidt. Cetraro summer school lectures, July 2000.
 
i0MathPages: Number Theory - http://www.mathpages.com/home/inumber.htm - Kevin Brown's collection of sci.math postings related to number theory topics.
 
i0MathWorld Number Theory - http://mathworld.wolfram.com/topics/NumberTheory.html - Index to articles in Eric Weisstein's MathWorld in the area of number theory.
 
i0Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function - http://www.math.ohio-state.edu/lectures/connes/Connes_course.html - Lecture notes by Alain Connes.
 
i0Number Theory - http://www.alpertron.com.ar/NUMBERT.HTM - Proofs along with equation solvers and graphical views written in Java.
 
i0Number Theory - http://www.math.niu.edu/~rusin/known-math/index/11-XX.html - Dave Rusin's guide to number theory.
 
i0Number Theory Foundation - http://www.math.uiuc.edu/ntf/ - Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.
 
i0Number Theory Glossary - http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html - Compiled by Robert Campbell.
 
i0Number Theory Web - http://www.numbertheory.org/ntw/ - Things of interest to number theorists collected by Keith Matthews.
 
i0On-Line Encyclopedia of Integer Sequences - http://www.research.att.com/~njas/sequences/ - Given an integer sequence, find its name, and formula.
 
i0Online Seminar: Galois theory of p-Extensions - http://public.csusm.edu/public/fhajir/kochbook.html - Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
 
i0Some Highlights of Arithmetic Combinatorics - http://www.math.ucla.edu/~tao/254a.1.03w/ - Lecture notes and resources on combinatorial number theory by Terence Tao.
 
i0Some Number-Theoretical Constants - http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml - Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
 
i0Somos Polynomials - http://grail.cba.csuohio.edu/~somos/somospol.html - Related to Somos sequences and elliptic theta functions.
 
i0Square-free Gaps - http://www.marmet.org/louis/sqfgap/index.html - Algorithm and source code for the calculation of square-free numbers and gaps.
 
i0The Arithmetic Properties of Binomial Coefficients - http://www.cecm.sfu.ca/organics/papers/granville/index.html - Activated text by Andrew Granville.
 
i0The Canadian Number Theory Association - http://ca.geocities.com/gary.walsh@rogers.com/cnta.html - A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.
 
i0The Valuation Theory Home Page - http://math.usask.ca/fvk/Valth.html - A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.
 
i0The Work of Robert Langlands - http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html - Thesis, papers, manuscripts, letters and bibliography.
 
i0Transcendental Numbers - http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm - Maple worksheets, lecture notes and links to other resources by John Cosgrove.
 
i0Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory - http://www.math.umn.edu/~garrett/m/v/ - By Paul Garrett.
 
i0Visible Structures in Number Theory - http://www.cecm.sfu.ca/~loki/Papers/Numbers/ - By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
 
i0World Records for Numerical Palindromes - http://www.jasondoucette.com/worldrecords.html - The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
 
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