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Katolog > Science > Math > Number Theory


It addresses problems about integer and rational numbers. It includes congruences, divisibility, primes, etc. and the famous Fermat Last Theorem.
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Links:

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

Number Theory Glossary

Compiled by Robert Campbell.
www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
Infinite Series Theorem
http://www.infiniteseriestheorem.org/

Infinite Series Theorem

Addresses the question whether a series of rational functions converges to a rational number.
www.infiniteseriestheorem.org
Number Theory
http://www.alpertron.com.ar/NUMBERT.HTM

Number Theory

Proofs along with equation solvers and graphical views written in Java.
www.alpertron.com.ar/NUMBERT.HTM
On-Line Encyclopedia of Integer Sequences
http://www.research.att.com/~njas/sequences/

On-Line Encyclopedia of Integer Sequences

Given an integer sequence, find its name, and formula.
www.research.att.com/~njas/sequences
Number Theory
http://www.math.niu.edu/~rusin/known-math/index/11-XX.html

Number Theory

Dave Rusin's guide to number theory.
www.math.niu.edu/~rusin/known-math/index/11-XX.html
Three Years of Computing
http://www.fourmilab.ch/documents/threeyears/threeyears.html

Three Years of Computing

Palindrome Quest. Reporting computations on the 196 problem.
www.fourmilab.ch/documents/threeyears/threeyears.html
Visible Structures in Number Theory
http://www.cecm.sfu.ca/~loki/Papers/Numbers/

Visible Structures in Number Theory

By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.
www.cecm.sfu.ca/~loki/Papers/Numbers
Integer Relations
http://www.cecm.sfu.ca/projects/IntegerRelations/

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.
www.cecm.sfu.ca/projects/IntegerRelations
The Somos Sequence Site
http://www.math.wisc.edu/~propp/somos.html

The Somos Sequence Site

Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.
www.math.wisc.edu/~propp/somos.html
The Arithmetic Properties of Binomial Coefficients
http://www.cecm.sfu.ca/organics/papers/granville/index.html

The Arithmetic Properties of Binomial Coefficients

Activated text by Andrew Granville.
www.cecm.sfu.ca/organics/papers/granville/index.html
The Work of Robert Langlands
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html

The Work of Robert Langlands

Thesis, papers, manuscripts, letters and bibliography.
www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
http://www.math.umn.edu/~garrett/m/v/

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

By Paul Garrett.
www.math.umn.edu/~garrett/m/v
Somos Polynomials
http://grail.cba.csuohio.edu/~somos/somospol.html

Somos Polynomials

Related to Somos sequences and elliptic theta functions.
grail.cba.csuohio.edu/~somos/somospol.html
Some Number-Theoretical Constants
http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml

Some Number-Theoretical Constants

Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml
Square-free Gaps
http://www.marmet.ca/louis/sqfgap/

Square-free Gaps

Algorithm and source code for the calculation of square-free numbers and gaps.
www.marmet.ca/louis/sqfgap
L-Functions
http://www.math.okstate.edu/~loriw/start/start.html

L-Functions

Classified by degree, then by level, then by eigenvalue, then by root number.
www.math.okstate.edu/~loriw/start/start.html
The Valuation Theory Home Page
http://math.usask.ca/fvk/Valth.html

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.
math.usask.ca/fvk/Valth.html
Online Seminar: Galois theory of p-Extensions
http://public.csusm.edu/public/fhajir/kochbook.html

Online Seminar: Galois theory of p-Extensions

Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.
public.csusm.edu/public/fhajir/kochbook.html
MathPages: Number Theory
http://www.mathpages.com/home/inumber.htm

MathPages: Number Theory

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

MathWorld Number Theory

Index to articles in Eric Weisstein's MathWorld in the area of number theory.
mathworld.wolfram.com/topics/NumberTheory.html
About Two Months of Computing
http://www.fourmilab.ch/documents/threeyears/two_months_more.html

About Two Months of Computing

Work on the 196 palindrome problem by Tim Irvin.
www.fourmilab.ch/documents/threeyears/two_months_more.html
Application of Digital Root
http://www.geocities.com/bappan420/

Application of Digital Root

A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.
www.geocities.com/bappan420
World Records for Numerical Palindromes
http://www.jasondoucette.com/worldrecords.html

World Records for Numerical Palindromes

The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.
www.jasondoucette.com/worldrecords.html
Klein Polyhedra
http://members.lycos.co.uk/keithmbriggs/klein-polyhedra.html

Klein Polyhedra

Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
members.lycos.co.uk/keithmbriggs/klein-polyhedra.html
Covers, Sumsets and Zero-sums
http://pweb.nju.edu.cn/zwsun/csz.htm

Covers, Sumsets and Zero-sums

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

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