Reciprocity Laws:
Franz Lemmermeyer's on-line book on reciprocity laws, with
bibliography and proofs of quadratic reciprocity.
http://www.rzuser.uni-heidelberg.de/~hb3/rec.html
Three Years of Computing:
Palindrome Quest. Reporting computations on the 196 problem.
http://www.fourmilab.ch/documents/threeyears/threeyears.html
Visible Structures in Number Theory:
By Peter Borwein and Loki Jأ¶rgenson. Recognising number patterns
visually.
http://www.cecm.sfu.ca/~loki/Papers/Numbers/
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://www.cecm.sfu.ca/projects/IntegerRelations/
The Somos Sequence Site:
Web resources for information on Somos sequences and related topics
such as elliptic divisibility sequences.
http://www.math.wisc.edu/~propp/somos.html
numbertheory:
Mailing list covering recreational and serious aspects. [Requires
free Yahoo membership.]
Lehmer's Conjecture:
That the Mahler measure of an algebraic number is bounded away from
1. Pages by Michael Mossinghoff, UCLA.
http://www.math.ucla.edu/~mjm/lc/lc.html
The Work of Robert Langlands:
Thesis, papers, manuscripts, letters and bibliography.
http://www.sunsite.ubc.ca/DigitalMathArchive/Langlands/intro.html
Number Theory Glossary:
Compiled by Robert Campbell.
http://www.math.umbc.edu/~campbell/NumbThy/Class/Glossary.html
Frequently Asked Questions:
Number Theory section of the sci.math FAQ list.
http://www.cs.unb.ca/~alopez-o/math-faq/node21.html#SECTION00400000000000000000
Somos Polynomials:
Related to Somos sequences and elliptic theta functions.
http://grail.cba.csuohio.edu/~somos/somospol.html
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
Square-free Gaps:
Algorithm and source code for the calculation of square-free numbers
and gaps.
http://www.marmet.ca/louis/sqfgap/
L-Functions:
Classified by degree, then by level, then by eigenvalue, then by
root number.
http://www.math.okstate.edu/~loriw/start/start.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.
http://math.usask.ca/fvk/Valth.html
SeqFan Mailing List:
Devoted to the study of integer sequences.
http://www.ccr.jussieu.fr/gmpib/seqfan/
The Canadian Number Theory Association:
A loosely defined group of individuals, mainly in Canada, active in
research in Number Theory.
http://members.rogers.com/superprof/cnta.html
2^n Modulo n:
Joe Crump's results on values of n with prescribed values of 2^n
modulo n.
http://www.spacefire.com/numbertheory/2nmodn.htm
NumbersWithNames:
A program for exploring and making conjectures about interesting
sequences using data from the Encylopedia of Integer Sequences.
http://www.machine-creativity.com/programs/nwn/
Fermat's Little Theorem:
With notes on Carmichael numbers and the life of R.D. Carmichael.
http://www.geocities.com/Paris/Rue/1861/FermLit.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
About Two Months of Computing:
Work on the 196 palindrome problem by Tim Irvin.
http://www.fourmilab.ch/documents/threeyears/two_months_more.html
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/
World Records for Numerical Palindromes:
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by
Jason Doucette.
http://www.jasondoucette.com/worldrecords.html
Klein Polyhedra:
Examples and algorithms for computing Klein polyhedra, also known as
Arnold sails or veils (voiles), by Keith Briggs.
http://members.lycos.co.uk/keithmbriggs/klein-polyhedra.html
Covers, Sumsets and Zero-sums:
A unified approach to covering systems, restricted sumsets and
zero-sum problems by Zhi-Wei Sun.
http://pweb.nju.edu.cn/zwsun/csz.htm
Infinite Series Theorem:
Addresses the question whether a series of rational functions
converges to a rational number.
http://www.infiniteseriestheorem.org/
Number Theory Web:
Things of interest to number theorists collected by Keith Matthews.
http://www.numbertheory.org/ntw/
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/
