In this category are included any equation or set of equations where the unknowns must be integer numbers. It includes Fermat Last Theorem as a special case.
Subcategories 2
Sites 16
- Bibliography on Hilbert's Tenth Problem Searchable, 400 items.
- Egyptian Fractions Lots of information about Egyptian fractions collected by David Eppstein.
- The Erdos-Strauss Conjecture The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett.
- Thue Equations Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
- 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.
- 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.
- 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.
- Rational Triangles Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
- Rational and Integral Points on Higher-dimensional Varieties Some of conjectures and open problems, compiled at AIM.
- Diagonal Quartic Surfaces Articles, computations and software in Magma and GP by Martin Bright.
- Linear Diophantine Equations A web tool for solving Diophantine equations of the form ax + by = c.
- 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.
- Pell's Equation Provides information on this equation, solved by Brahmagupta in 628 AD.
- Pell's Equation Record solutions.