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Bibliography on Hilbert's Tenth Problem
Searchable, ~400 items.
liinwww.ira.uka.de
Lots of information about Egyptian fractions collected by David Eppstein.
www.ics.uci.edu
The conjecture states that for any integer n > 1 there are integers a, b, and c with 4/n = 1/a + 1/b + 1/c, a > 0, b > 0, c > 0. The page establishes that the conjecture is true for all integers n, 1 < n <= 10^14. Tables and software by Allan Swett.
math.uindy.edu
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
finanz.math.tu-graz.ac.at
Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.
logic.pdmi.ras.ru
Diophantine Geometry in Characteristic p
A survey by José Felipe Voloch.
www.ma.utexas.edu
A Javascript calculator for pythagorean triplets.
www.faust.fr.bw.schule.de
Given a Diophantine equation with any number of unknowns and with rational integer coefficients: devise a process, which could determine by a finite number of operations whether the equation is solvable in rational integers.
www.ltn.lv
Quadratic Diophantine Equation Solver
Dario Alpern's Java/JavaScript code that solves Diophantine equations of the form Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 in two selectable modes: "solution only" and "step by step" (or "teach") mode. There is also a link to his description of the solving methods.
www.alpertron.com.ar
Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella.
www.math.hr
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
grail.cba.csuohio.edu
Solving General Pell Equations
John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 = N.
hometown.aol.com
Record solutions.
www.ieeta.pt
On-line Pell Equation solver by Michael Zuker.
www.bioinfo.rpi.edu
Rational and Integral Points on Higher-dimensional Varieties
Some of conjectures and open problems, compiled at AIM.
aimath.org