«Number Theory»  : Diophantine Equations


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«Number Theory»  : Diophantine Equations Sites
Science Math Number Theory Diophantine Equations
Science Math Number Theory Diophantine Equations sites
Diophantine-Equations.Number-Theory.Math.sciencenter.work
Science Math Number Theory Diophantine Equations
Science Math Number Theory Diophantine Equations sites
Diophantine-Equations.Number-Theory.Math.science-sites.work
Bibliography on Hilbert's Tenth Problem
Searchable , 400 items.
liinwww.ira.uka.de/bibliography/Math/Hilbert10.html
Diagonal Quartic Surfaces
Articles , computations and software in Magma and GP by Martin Bright.
www.boojum.org.uk/maths/quartic-surfaces/
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.
www.math.hr/~duje/dtuples.html
Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein.
www.ics.uci.edu/~eppstein/numth/egypt/
Hilbert's Tenth Problem
Statement of the problem in several languages , history of the problem , bibliography and links to related WWW sites.
logic.pdmi.ras.ru/Hilbert10/
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.
www.ltn.lv/~podnieks/gt4.html
Linear Diophantine Equations
A web tool for solving Diophantine equations of the form ax + by = c.
www.thoralf.uwaterloo.ca/htdocs/linear.html
Pell's Equation
Record solutions.
sweet.ua.pt/tos/pell.html
Pell's Equation
Provides information on this equation , solved by Brahmagupta in 628 AD.
www-history.mcs.st-andrews.ac.uk/history/Projects/Pearce/Chapters/Ch8_6.html
Pythagorean Triples in JAVA
A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.
www.hbnweb.de/pythagoras/pythagoras.html
Pythagorean Triplets
A Javascript calculator for pythagorean triplets.
www.hbmeyer.de/pythagen.htm
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 m
www.alpertron.com.ar/QUAD.HTM
Rational and Integral Points on Higher-dimensional Varieties
Some of conjectures and open problems , compiled at AIM.
aimath.org/WWN/qptsurface2/
Rational Triangles
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
grail.cba.csuohio.edu/~somos/rattri.html
The Erdos-Strauss Conjecture
The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett.
math.uindy.edu/swett/esc.htm

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