Math: Number Theory

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Algebraic (14)

Analytic (34)

Chats and Forums (8)

Computational (12)

Diophantine Equations (50)

Education (19)

Elliptic Curves and Modular Forms (67)

Events (241)

Factoring (60)

History (6)

Open Problems (47)

People (476)

Prime Numbers (103)

Publications (77)

Research Groups (71)

Software (59)

Tables (29)

LINKS:

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A Mechanical Proof of Quadratic Reciprocity
http://www.onr.com/user/russ/david/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.

About Two Months of Computing
http://www.fourmilab.ch/documents/threeyears/two_months_more.html
Work on the 196 palindrome problem by Tim Irvin.

Application of Digital Root
http://www.geocities.com/bappan420/
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.

Covers, Sumsets and Zero-sums
http://pweb.nju.edu.cn/zwsun/csz.htm
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.

Fermat's Little Theorem
http://www.pballew.net/FermLit.html
With notes on Carmichael numbers and the life of R.D. Carmichael.

Frequently Asked Questions
http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html
Number Theory section of the sci.math FAQ list.

Hakmem Continued Fractions
http://www.inwap.com/pdp10/hbaker/hakmem/cf.html
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.

Infinite Series Theorem
http://www.infiniteseriestheorem.org/
Addresses the question whether a series of rational functions converges to a rational number.

Integer Relations
http://www.cecm.sfu.ca/projects/IntegerRelations/
To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.

Introduction 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).

Klein Polyhedra
http://members.lycos.co.uk/keithmbriggs/klein-polyhedra.html
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.

L-Functions
http://www.math.okstate.edu/~loriw/start/start.html
Classified by degree, then by level, then by eigenvalue, then by root number.

Lehmer'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.

Linear Independence Measures for Logarithms of Algebraic Numbers
http://www.mathp6.jussieu.fr/~miw/articles/cetraro.html
Michel Waldschmidt. Cetraro summer school lectures, July 2000.

MathPages: Number Theory
http://www.mathpages.com/home/inumber.htm
Kevin Brown's collection of sci.math postings related to number theory topics.

MathWorld Number Theory
http://mathworld.wolfram.com/topics/NumberTheory.html
Index to articles in Eric Weisstein's MathWorld in the area of number theory.

Noncommutative 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.

Number Theory
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html
Dave Rusin's guide to number theory.

Number Theory
http://www.alpertron.com.ar/NUMBERT.HTM
Proofs along with equation solvers and graphical views written in Java.

Number 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.

Number Theory Glossary
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
Compiled by Robert Campbell.

Number Theory Web
http://www.numbertheory.org/ntw/
Things of interest to number theorists collected by Keith Matthews.

On-Line Encyclopedia of Integer Sequences
http://www.research.att.com/~njas/sequences/
Given an integer sequence, find its name, and formula.

Online 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.

Other Maths
http://www.users.globalnet.co.uk/~perry/maths/othermaths.htm
A wide selection of number theory topics compiled by Jon Perry.

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