Bibliography on Hilbert's Tenth Problem
Searchable, ~400 items. |
Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n
Methods to solve these equations. |
Diagonal Quartic Surfaces
Articles, computations and software in Magma and GP by Martin Bright. |
Diophantine Equations
Dave Rusin's guide to Diophantine equations. |
Diophantine Geometry in Characteristic p
A survey by José Felipe Voloch. |
Diophantine m-tuples
Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella. |
Diophantus Quadraticus
On-line Pell Equation solver by Michael Zuker. |
Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein. |
Hilbert's Tenth Problem
Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites. |
Hilbert's Tenth Problem
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. |
Linear Diophantine Equations
A web tool for solving Diophantine equations of the form ax + by = c. |
Pell's Equation
Record solutions. |
Pythagorean Triples Etcetera
A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles. |
Pythagorean Triples in JAVA
A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2. |
Pythagorean Triplets
A Javascript calculator for pythagorean triplets. |
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 |
Rational and Integral Points on Higher-dimensional Varieties
Some of conjectures and open problems, compiled at AIM. |
Rational Triangles
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples. |
Solving General Pell Equations
John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 = N. |
The Erdos-Strauss Conjecture
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 |
Thue Equations
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger. |
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