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tylko w Number_Theory/Diophantine_Equations
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Number_Theory
: Diophantine_Equations:
Equal Sums of Like Powers
(11)
Fermat's Last Theorem
(14)
This category in other languages:
Spanish
(3)
Bibliography on Hilbert's Tenth Problem
- Searchable, 400 items.
Diagonal Quartic Surfaces
- Articles, computations and software in Magma and GP by Martin Bright.
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.
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.
Pell's Equation
- Provides information on this equation, solved by Brahmagupta in 628 AD.
Pythagorean Triples Etc.
- 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 description of the solving methods.
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.
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.