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Scotland hit by rail staff strike

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Officer fears repeat of Menezes

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Max Mosley says Formula One needs to implement drastic cost-cutting measures by 2010 if it is to remain a "credible" sport.

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Send your video, pictures and story ideas

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 World Catalog > Science > Math > Number Theory

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World Catalog > Science > Math > Number Theory

Number Theory:

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

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/

The Arithmetic Properties of Binomial Coefficients

Activated text by Andrew Granville.

http://www.cecm.sfu.ca/organics/papers/granville/index.html

Graand

Free Classified Ads Portal

www.graand.com

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

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

Fermat's Little Theorem

With notes on Carmichael numbers and the life of R.D. Carmichael.

http://www.pballew.net/FermLit.html

Frequently Asked Questions

Number Theory section of the sci.math FAQ list.

http://db.uwaterloo.ca/~alopez-o/math-faq/node21.html

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

Infinite Series Theorem

Addresses the question whether a series of rational functions converges to a rational number.

http://www.infiniteseriestheorem.org/

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/

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

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

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

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

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

MathPages: Number Theory

Kevin Brown's collection of sci.math postings related to number theory topics.

http://www.mathpages.com/home/inumber.htm

MathWorld Number Theory

Index to articles in Eric Weisstein's MathWorld in the area of number theory.

http://mathworld.wolfram.com/topics/NumberTheory.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

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

Number Theory

Proofs along with equation solvers and graphical views written in Java.

http://www.alpertron.com.ar/NUMBERT.HTM

Number Theory

Dave Rusin's guide to number theory.

http://www.math.niu.edu/~rusin/known-math/index/11-XX.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/

Number Theory Glossary

Compiled by Robert Campbell.

http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html

On-Line Encyclopedia of Integer Sequences

Given an integer sequence, find its name, and formula.

http://www.research.att.com/~njas/sequences/

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

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/

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

Somos Polynomials

Related to Somos sequences and elliptic theta functions.

http://grail.cba.csuohio.edu/~somos/somospol.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

Transcendental Numbers

Maple worksheets, lecture notes and links to other resources by John Cosgrove.

http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm

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

Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory

By Paul Garrett.

http://www.math.umn.edu/~garrett/m/v/

Visible Structures in Number Theory

By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.

http://www.cecm.sfu.ca/~loki/Papers/Numbers/

The Work of Robert Langlands

Thesis, papers, manuscripts, letters and bibliography.

http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html

World Records for Numerical Palindromes

The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.

http://www.jasondoucette.com/worldrecords.html

'Deepest ever' living fish filmed - 7.5km down

The "deepest ever" living fish are discovered 7.5km down, scientists say.

news.bbc.co.uk

Officer fears repeat of Menezes

An innocent person could be shot dead by police again, a senior officer admits at the inquest into the death of Jean Charles de Menezes.

news.bbc.co.uk

Hijacked tanks 'for South Sudan'

The BBC sees evidence suggesting a Ukrainian ship held by pirates off Somalia is carrying tanks bound for South Sudan.

news.bbc.co.uk

Troops confront Bangkok protests

Thai troops are deployed in the capital after police fail for a second time to disperse anti-government protesters.

news.bbc.co.uk

Murder inquiry after body found

Police investigating the murder of a 62-year-old widow say they want to speak to anyone who saw her in recent days.

news.bbc.co.uk

Car thief with name and birthday neck tattoo caught by CCTV

A car thief who had his name and birth date tattooed on his neck is caught after CCTV images helped police track him down.

news.bbc.co.uk

Fish to finance

Iceland searches for solutions after bank failures

news.bbc.co.uk

US race turns nasty ahead of debate

The US presidential candidates exchange barbs as they prepare for their second debate in Nashville, Tennessee.

news.bbc.co.uk

Cage fighters 'behind £53m raid'

Two cage fighters masterminded the £53m robbery on a Securitas depot in Kent before fleeing to Morocco, a court hears.

news.bbc.co.uk

FA chief fears '£3bn' club debts

FA chairman Lord Triesman says the current global credit crisis could pose a "terrible danger" to clubs contesting spiralling debts.

news.bbc.co.uk

Your stories

UK customers of bank Icesave voice their concerns

news.bbc.co.uk

Scotland hit by rail staff strike

Rail disruption hits Scottish commuters as signal workers walk out in the first of two 24-hour strikes.

news.bbc.co.uk

Salmond makes interest rate call

Scottish First Minister Alex Salmond calls for a substantial cut in interest rates to head off a possible recession.

news.bbc.co.uk

In pictures

Chinese art is the focus of Saatchi Gallery exhibition

news.bbc.co.uk

Soldier's journey

Can you go from firefights back to ordinary life?

news.bbc.co.uk

Boy's head 'kicked like football'

A Leicester teenager's head was 'kicked like a football' as he lay in the street, his friend tells a court.

news.bbc.co.uk

Mosley plans European Court bid

Motorsport boss Max Mosley will take his breach of privacy case to the European Court, he tells the BBC.

news.bbc.co.uk

Philippines angry at Enfield show

The Philippine embassy in London complains over a sketch featuring a Filipina maid in Harry Enfield's BBC show.

news.bbc.co.uk

US election quiz

How closely are you following the US vote?

news.bbc.co.uk

Government to unveil bank rescue

The UK government is poised to announce details of a comprehensive rescue package for the banking system.

news.bbc.co.uk

Send your video, pictures and story ideas

Have you got a good story? BBC News wants to hear from you.

news.bbc.co.uk

Big-money England match in doubt

The $20m match between England and Sir Allen Stanford's Caribbean team is in doubt after a High Court ruling over sponsorship.

news.bbc.co.uk

Mosley wants action to 'save' F1

Max Mosley says Formula One needs to implement drastic cost-cutting measures by 2010 if it is to remain a "credible" sport.

news.bbc.co.uk

M40 killers 'waited for victim'

The killers of a biker shot dead as he rode home from a festival had lain in wait until a target came by, a court hears.

news.bbc.co.uk

Reserves raided to stop cutbacks

The assembly government wants to take £200m from its reserves to stop cutbacks in key public services in Wales next year.

news.bbc.co.uk