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the entire directory
only in Number_Theory/Diophantine_Equations
Description
Top
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Science
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Math
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Number Theory
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Diophantine Equations
(39)
Equal Sums of Like Powers
(10)
Fermat's Last Theorem
(12)
This category in other languages:
Español
(2)
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 mtuples
 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.
The ErdosStrauss Conjecture
 The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett.
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
 Provides information on this equation, solved by Brahmagupta in 628 AD.
Pell's Equation
 Record solutions.
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 and Integral Points on Higherdimensional 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.
Thue Equations
 Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
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Last update: January 12, 2015 at 3:01:42 UTC 
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