China alert over bird flu death

Chinese authorities shut down and clean poultry markets in Hebei province, after the first human death in nearly a year.

news.bbc.co.uk

Animal matters

Scotland's debate over tests on primates

news.bbc.co.uk

Mosquitoes make sweet love music

Sexy songs sung by mosquitoes in courtship could be key to curbing the spread of dengue fever, say scientists.

news.bbc.co.uk

A deep-sea fish caught in the Pacific has mirrors for eyes

A deep-sea fish caught in the Pacific has eyes which use mirrors as well as lenses, scientists discover.

news.bbc.co.uk

Beagle hunter

On a mission to find the most famous ship of science

news.bbc.co.uk

Holes give edge to new armour

Scientists from the UK Ministry of Defence (MoD) have devised ultra-hard vehicle armour to protect military personnel.

news.bbc.co.uk

Canadians claim South Pole record

A trio of Canadians claim a new record for the fastest trek across Antarctica to the South Pole.

news.bbc.co.uk

Earth Watch

Why it is hard to predict sudden environmental crises

news.bbc.co.uk

Venomous mammal caught on camera

Rare footage of one of the world's most strange and elusive mammals is captured by scientists.

news.bbc.co.uk

First flight of algae-fuelled jet

Continental Airlines is the latest to test fly a jet biofuel, this time with a product derived partially from algae.

news.bbc.co.uk

Mummy of female pharaoh uncovered

Egyptologists find remains of a mummy thought to belong to a queen who ruled 4,300 years ago, Egypt's antiquities chief announced.

news.bbc.co.uk

Heat may spark world food crisis

Half the world's population could face food crisis by 2100 as soaring temperatures cripple staple crops, scientists warn.

news.bbc.co.uk

Poetry or science?

Is romantic love just a chemical cocktail?

news.bbc.co.uk

Eat it or lose it - why centuries of crop diversity are at risk

Centuries of crop diversity are at risk of being lost forever as farmers turn to just a few modern, high yielding varieties.

news.bbc.co.uk

Our writers talk back

Some of the previous contributors to the Green Room respond to readers' questions and comments.

news.bbc.co.uk

Everest trip helps critically ill

Blood oxygen levels recorded on a trip by medics to Everest could help the treatment of critically ill patients.

news.bbc.co.uk

Panda bites his third tourist in two years at Beijing zoo

A panda at Beijing zoo bites a man for the third time in two years.

news.bbc.co.uk

Feilden's blog

Ground-breaking new technique in stem cell science

news.bbc.co.uk

Zimbabwe troops 'eat elephants'

A Zimbabwean wildlife campaigner tells the BBC that soldiers are being given elephant meat to eat, as the economic crisis deepens.

news.bbc.co.uk

Body repair 'could be ramped up'

A combination of drugs could trick the body into sending its repair mechanisms into overdrive, say scientists.

news.bbc.co.uk

Black holes 'preceded galaxies'

Astronomers believe they have solved a cosmic chicken-and-egg question: what came first - black holes or galaxies?

news.bbc.co.uk

Baby Jupiter's huge weight gain

The planet Jupiter must have gained mass fast during its infancy, according to astronomers.

news.bbc.co.uk

'Wolfman' returns

Explorer Jim McNeill tracks down Arctic wolves

news.bbc.co.uk

US vows 'huge' marine protection

The US is to establish "the largest area of protected sea in the world", banning fishing and mining, around its Pacific islands.

news.bbc.co.uk

Tech fair offers greener vision

Analysts at the Consumer Electronics Show say green credentials of tech products will become critical to success.

news.bbc.co.uk

 Science > Number Theory

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Science > Number Theory

Number Theory:

Active Elementary Number Theory

Interactive (Javascript) expression of a number as a sum of two squares.

http://www.hbmeyer.de/taupaeng.htm

Graand

Free Classified Ads Portal

www.graand.com

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

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

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

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