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Home: Science: Math: Number Theory

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LINKS:

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Active Elementary Number Theory
Interactive (Javascript) expression of a number as a sum of two squares.
http://www.hbmeyer.de/taupaeng.htm
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Australian Numerals Revealed
Proposes a new way of expressing numbers which makes mathematics easier to learn and quicker to perform.
http://australiannumerals.org/AustralianNumeralsExplained.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Fermat's Little Theorem
With notes on Carmichael numbers and the life of R.D. Carmichael.
http://www.pballew.net/FermLit.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Frequently Asked Questions
Number Theory section of the sci.math FAQ list.
http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

L-Functions
Classified by degree, then by level, then by eigenvalue, then by root number.
http://www.lfunctions.org/start/start.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

MathPages: Number Theory
Kevin Brown's collection of sci.math postings related to number theory topics.
http://www.mathpages.com/home/inumber.htm
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

MathWorld Number Theory
Index to articles in Eric Weisstein's MathWorld in the area of number theory.
http://mathworld.wolfram.com/topics/NumberTheory.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Number Theory
Dave Rusin's guide to number theory.
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Number Theory
Proofs along with equation solvers and graphical views written in Java.
http://www.alpertron.com.ar/NUMBERT.HTM
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Number Theory Glossary
Compiled by Robert Campbell.
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Number Theory Web
Things of interest to number theorists collected by Keith Matthews.
http://www.numbertheory.org/ntw/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

On-Line Encyclopedia of Integer Sequences
Given an integer sequence, find its name, and formula.
http://www.research.att.com/~njas/sequences/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Somos Polynomials
Related to Somos sequences and elliptic theta functions.
http://grail.cba.csuohio.edu/~somos/somospol.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Square-free Gaps
Algorithm and source code for the calculation of square-free numbers and gaps.
http://www.marmet.org/louis/sqfgap/index.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

The Arithmetic Properties of Binomial Coefficients
Activated text by Andrew Granville.
http://www.cecm.sfu.ca/organics/papers/granville/index.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

The Somos Sequence Site
Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
http://faculty.uml.edu/jpropp/somos.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

The Work of Robert Langlands
Thesis, papers, manuscripts, letters and bibliography.
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
By Paul Garrett.
http://www.math.umn.edu/~garrett/m/v/
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

World Records for Numerical Palindromes
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
http://www.jasondoucette.com/worldrecords.html
(Added: Mon Apr 04 2011 Hits: 0 Rating: 0.00 Votes: 0) Rate It Review It

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