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 DIRECTORY/Science/Tech/Math/Number Theory/Diophantine Equations (42)
i0Bibliography on Hilbert's Tenth Problem - http://liinwww.ira.uka.de/bibliography/Math/Hilbert10.html - Searchable, 400 items.
 
i0Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n - http://oas.ucok.edu/OJAS/98/T98/THIENDO.HTM - Methods to solve these equations.
 
i0Diagonal Quartic Surfaces - http://www.boojum.org.uk/maths/quartic-surfaces/ - Articles, computations and software in Magma and GP by Martin Bright.
 
i0Diophantine Geometry in Characteristic p - http://www.ma.utexas.edu/users/voloch/surveylatex/surveylatex.html - A survey by José Felipe Voloch.
 
i0Diophantine m-tuples - http://www.math.hr/~duje/dtuples.html - Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella.
 
i0Diophantus Quadraticus - http://www.bioinfo.rpi.edu/~zukerm/cgi-bin/dq.html - On-line Pell Equation solver by Michael Zuker.
 
i0Egyptian Fractions - http://www.ics.uci.edu/~eppstein/numth/egypt/ - Lots of information about Egyptian fractions collected by David Eppstein.
 
i0Hilbert's Tenth Problem - http://logic.pdmi.ras.ru/Hilbert10/ - Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.
 
i0Hilbert's Tenth Problem - http://www.ltn.lv/~podnieks/gt4.html - 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.
 
i0Linear Diophantine Equations - http://www.thoralf.uwaterloo.ca/htdocs/linear.html - A web tool for solving Diophantine equations of the form ax + by = c.
 
i0Pell's Equation - http://www.ieeta.pt/~tos/pell.html - Record solutions.
 
i0Pythagorean Triples Etcetera - http://www.geocities.com/fredlb37/ - A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles.
 
i0Pythagorean Triples in JAVA - http://www.hbnweb.de/pythagoras/pythagoras.html - A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.
 
i0Pythagorean Triplets - http://www.hbmeyer.de/pythagen.htm - A Javascript calculator for pythagorean triplets.
 
i0Quadratic Diophantine Equation Solver - http://www.alpertron.com.ar/QUAD.HTM - 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.
 
i0Rational Triangles - http://grail.cba.csuohio.edu/~somos/rattri.html - Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
 
i0Rational and Integral Points on Higher-dimensional Varieties - http://aimath.org/WWN/qptsurface2/ - Some of conjectures and open problems, compiled at AIM.
 
i0The Erdos-Strauss Conjecture - http://math.uindy.edu/swett/esc.htm - The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett.
 
i0Thue Equations - http://finanz.math.tu-graz.ac.at/~cheub/thue.html - Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
 
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