Diophantine Equations (42)

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Bibliography on Hilbert's Tenth Problem Open in a new browser window
   Searchable, ~400 items.
   http://liinwww.ira.uka.de/bibliography/Math/Hilbert10.html
Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n Open in a new browser window
   Methods to solve these equations.
   http://oas.ucok.edu/OJAS/98/T98/THIENDO.HTM
Diagonal Quartic Surfaces Open in a new browser window
   Articles, computations and software in Magma and GP by Martin Bright.
   http://www.boojum.org.uk/maths/quartic-surfaces/
Diophantine Geometry in Characteristic p Open in a new browser window
   A survey by José Felipe Voloch.
   http://www.ma.utexas.edu/users/voloch/surveylatex/surveylatex.html
Diophantine m-tuples Open in a new browser window
   Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella.
   http://www.math.hr/~duje/dtuples.html
Diophantus Quadraticus Open in a new browser window
   On-line Pell Equation solver by Michael Zuker.
   http://www.bioinfo.rpi.edu/~zukerm/cgi-bin/dq.html
Egyptian Fractions Open in a new browser window
   Lots of information about Egyptian fractions collected by David Eppstein.
   http://www.ics.uci.edu/~eppstein/numth/egypt/
Hilbert's Tenth Problem Open in a new browser window
   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.
   http://www.ltn.lv/~podnieks/gt4.html
Linear Diophantine Equations Open in a new browser window
   A web tool for solving Diophantine equations of the form ax + by = c.
   http://www.thoralf.uwaterloo.ca/htdocs/linear.html
Pell's Equation Open in a new browser window
   Record solutions.
   http://www.ieeta.pt/~tos/pell.html
Pythagorean Triples in JAVA Open in a new browser window
   A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.
   http://www.hbnweb.de/pythagoras/pythagoras.html
Pythagorean Triplets Open in a new browser window
   A Javascript calculator for pythagorean triplets.
   http://www.faust.fr.bw.schule.de/mhb/pythagen.htm
Quadratic Diophantine Equation Solver Open in a new browser window
   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
   http://www.alpertron.com.ar/QUAD.HTM
Rational Triangles Open in a new browser window
   Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
   http://grail.cba.csuohio.edu/~somos/rattri.html
Rational and Integral Points on Higher-dimensional Varieties Open in a new browser window
   Some of conjectures and open problems, compiled at AIM.
   http://aimath.org/WWN/qptsurface2/
The Erdos-Strauss Conjecture Open in a new browser window
   The conjecture states that for any integer n > 1 there are integers a, b, and c with 4/n = 1/a + 1/b + 1/c, a > 0, b > 0, c > 0. The page establishes that the conjecture is true for all integers n, 1 < n <= 10^14. Tables and software by
   http://math.uindy.edu/swett/esc.htm
Thue Equations Open in a new browser window
   Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
   http://finanz.math.tu-graz.ac.at/~cheub/thue.html

Last Updated: 2007-01-17 12:42:27