Wectar - Science - Math - Number Theory - Diophantine Equations

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Equal Sums of Like Powers	Fermat's Last Theorem

	Quadratic Diophantine Equation Solver URL: http://www.alpertron.com.ar/QUAD.HTM ODP description: 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. Page title: Dario Alpern's Generic Two integer variable equation solver Page description: Solves quadratic Diophantine equations (integer equations of the form a x^2 + b xy + c y^2 + dx + ey + f = 0)
	Egyptian Fractions URL: http://www.ics.uci.edu/~eppstein/numth/egypt/ ODP description: Egyptian mathematical fractions, including algorithms, transcriptions of network conversations, and links to other Egyptian mathematical resources.
	Hilbert's Tenth Problem URL: http://www.ltn.lv/~podnieks/gt4.html ODP description: 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. Page title: Hilbert's Tenth Problem. Diophantine Equations. By K.Podnieks Page description: What is Mathematics? Goedel's Theorem and Around. Textbook for students. Section 4. By K.Podnieks
	Hilbert's Tenth Problem URL: http://logic.pdmi.ras.ru/Hilbert10/ ODP description: Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites. Page title: Hilbert Tenth Problem: database index
	Pell's Equation URL: http://www.ieeta.pt/~tos/pell.html ODP description: Record solutions. Page title: Pell's equation
	Diophantine Geometry in Characteristic p URL: http://www.ma.utexas.edu/users/voloch/surveylatex/surveylatex.html ODP description: A survey by JosÃ© Felipe Voloch. Page title: Diophantine geometry in characteristic p: a survey
	The Erdos-Strauss Conjecture URL: http://math.uindy.edu/swett/esc.htm ODP description: The page establishes that the conjecture is true for all integers. Tables and software by Allan Swett. Page title: Swett, Research, Erdos-Strauss Conj
	Diophantus Quadraticus URL: http://www.bioinfo.rpi.edu/~zukerm/cgi-bin/dq.html ODP description: On-line Pell Equation solver by Michael Zuker. Page title: Diophantus Quadraticus: X^2 - dY^2 = 1
	Rational Triangles URL: http://grail.cba.csuohio.edu/~somos/rattri.html ODP description: Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
	Pythagorean Triples in JAVA URL: http://www.hbnweb.de/pythagoras/pythagoras.html ODP description: A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2. Page title: HBNweb.de Pythagorean Triples b=(a?/m - m)/2 c=b+m Pythagorean Triplets Page description: b= ( a? - m? ) / 2 / m ___ c = b + m___ Pythagoras-Tripel-Programm von Heinz Becker nur der Wert a wird abgefragt. Urheberrecht: Heinz Becker
	Rational and Integral Points on Higher-dimensional Varieties URL: http://aimath.org/WWN/qptsurface2/ ODP description: Some of conjectures and open problems, compiled at AIM.
	Pythagorean Triples Etcetera URL: http://www.geocities.com/fredlb37/ ODP description: A web text by Fred Barnes on 60-, 90-, and 120-degree integer-sided triangles. Page title: Pythagorean Triples, etc. Page description: Pythagorean Triples, etc.
	Pythagorean Triplets URL: http://www.hbmeyer.de/pythagen.htm ODP description: A Javascript calculator for pythagorean triplets. Page title: pythagorean triplets pythagorean triples Page description: Properties and Calculation of pythagorean Triples
	Diagonal Quartic Surfaces URL: http://www.boojum.org.uk/maths/quartic-surfaces/ ODP description: Articles, computations and software in Magma and GP by Martin Bright. Page title: Diagonal quartic surfaces
	Diophantine m-tuples URL: http://www.math.hr/~duje/dtuples.html ODP description: Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella. Page description: Sets with the property that the product of any two of its distinct elements is one less than a square
	Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n URL: http://oas.ucok.edu/OJAS/98/T98/THIENDO.HTM ODP description: Methods to solve these equations. Page title: Developing A General 2nd Degree Diophantine Equation x2 + p = 2n
	Thue Equations URL: http://finanz.math.tu-graz.ac.at/~cheub/thue.html ODP description: Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger. Page title: Clemens Heuberger - Thue equations
	Linear Diophantine Equations URL: http://www.thoralf.uwaterloo.ca/htdocs/linear.html ODP description: A web tool for solving Diophantine equations of the form ax + by = c. Page title: LINEAR DIOPHANTINE EQUATIONS
	Bibliography on Hilbert's Tenth Problem URL: http://liinwww.ira.uka.de/bibliography/Math/Hilbert10.html ODP description: Searchable, 400 items. Page description: Bibliography on Hilbert's Tenth Problem. This bibliography is a part of the Computer Science Bibliography Collection.