«Number Theory»  : Diophantine Equations
 Equal Sums of Like Powers Fermat's Last Theorem Web number-theory.math.sciencenter.work
«Number Theory»  : Diophantine Equations Sites
 Science Math Number Theory Diophantine Equations Science Math Number Theory Diophantine Equations sitesDiophantine-Equations.Number-Theory.Math.sciencenter.work Science Math Number Theory Diophantine Equations Science Math Number Theory Diophantine Equations sitesDiophantine-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 mwww.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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