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Diophantine Equation:

Geometric Theorems, Diophantine Equations, and Arithmetic Functions by Jozsef Sandor, June, 2002 Diophantus and Diophantine Equations by Isabella G. Bashmakova, November, 1997 The Algorithmic Resolution of Diophantine Equations : A Computational Cookbook by Nigel P. Smart, January, 1999 Diophantine Equations over Function Fields by R. C. Mason, July, 1984 Exponential Diophantine Equations by T. N. Shorey, R. Tijdeman, March, 1987 Equations in Free Semigroups by Steklov Inst Math Academy Sci U.S.S.R. Staff, June, 1976 Diophantine Equations and Power Integral Bases: New Computational Methods by Istvan Gaal, May, 2002 Arithmetic of Algebraic Curves (Monographs in Contemporary Mathematics) by Serguel A. Stepanov, Irene Aleksanova, December, 1994 Diophantine Approximations and Diophantine Equations (Lecture Notes in Mathematics, Vol. 1467) by Wolfgang M. Schmidt, August, 1991 Number Theory and Mathematical Logic: Number Theory, Unit Eight - Diophantine Equations (M381 Number Theory and Mathematical Logic) by A. Best, 01 November, 2001

1. Developing A General 2nd Degree Diophantine Equation X2 + P = 2n
   Methods to solve these equations.  
   http://www.biochem.okstate.edu/OAS/OJAS/thiendo.htm

2. Dario Alpern's Generic Two Integer Variable Equation Solver
   Dario Alpern's Java/JavaScript code that solves diophantine equations of the form Ax^2 + Bxy + Cy^2 Category Science Math Number Theory diophantine equationsSolves quadratic diophantine equations (integer equations of the form a x^2 + b xy + c y^2 + dx + ey + f = 0)  
   http://www.alpertron.com.ar/QUAD.HTM

3. Diophantine Equation -- From MathWorld
   An equation in which only integer solutions are allowed. Hilbert's 10th problem asked if a technique for solving a general Diophantine existed. A general method exists for the solution of first degree diophantine equations.  
   http://mathworld.wolfram.com/DiophantineEquation.html

4. Diophantine Equation. The American Heritage® Dictionary Of The English Language:
   diophantine equation. NOUN An algebraic equation with two or more variables whose coefficients are integers, studied  
   http://www.bartleby.com/61/55/D0235550.html

5. Diophantine Equation
   diophantine equation. Introduction. A diophantine equation is an equation in which only Integer solutions are allowed.  
   http://granite.sru.edu/~venkatra/Diophantine_Equation.htm

6. Mathematical Applets
   Draw a graph y = f(x) or fractal, seek prime numbers or solve the diophantine equation.  
   http://www.kolumbus.fi/hoijer.heikki/

7. Randomness In Arithmetic
   The mathematical assertion that the diophantine equation with parameter k has no solution encodes the assertion that the  
   http://www.umcs.maine.edu/~chaitin/sciamer2.html

8. Diophantine Equation--4th Powers -- From MathWorld
   diophantine equation4th Powers, As a consequence of Matiyasevich'srefutation of Hilbert's 10th problem, it can be proved that  
   http://mathworld.wolfram.com/DiophantineEquation4thPowers.html

9. LINEAR DIOPHANTINE EQUATIONS
   A web tool for solving diophantine equations of the form ax + by = c.  
   http://thoralf2.uwaterloo.ca/htdocs/linear.html

10. Diophantine Equation From FOLDOC
    diophantine equation. mathematics Equations with integer coefficientsto which integer solutions are sought. Because the results  
    http://wombat.doc.ic.ac.uk/foldoc/foldoc.cgi?Diophantine equation

11. Hilbert's Tenth Problem. Diophantine Equations
    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

12. Generation5.org - Genetic Algorithm Example: Diophantine Equation
    Genetic Algorithm Example diophantine equation. Make sure that you haveread the genetic algorithms essay before reading this example.  
    http://www.generation5.org/gaexample.shtml

13. Solving General Pell Equations
    John Robertson's treatise on how to solve diophantine equations of the form x^2 dy^2 = N.  
    http://hometown.aol.com/jpr2718/pelleqns.html

14. The Prime Glossary: Diophantus
    Now we call an equation to be solved in integers a diophantine equation. For example, Diophantus considered the  
    http://www.utm.edu/research/primes/glossary/Diophantus.html

15. Generation5.org - Essays
    Genetic Algorithms diophantine equation Solver. This is a C++ programthat solves a diophantine equation using genetic algorithms.  
    http://www.generation5.org/diophantine_ga.shtml

16. Mathsoft: Mathsoft Unsolved Problems: On A Generalized Fermat-Wiles Equation
    Steven Finch's essay on the diophantine equation of the form x^n + y^n = c.z^n.  
    http://www.mathsoft.com/mathresources/problems/article/0,,2186,00.html

17. Diophantine Equation - Wikipedia
    diophantine equation. From Wikipedia, the free encyclopedia. Diophantineequations are equations of the form f = 0, where f is a  
    http://www.wikipedia.org/wiki/Diophantine_equation

18. The Beal Conjecture
    $75,000 prized problem pertaining to the diophantine equation of the form A^x + B^y = C^z where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then A, B and C must have a common factor.  
    http://www.math.unt.edu/~mauldin/beal.html

19. Randomness In Arithmetic
    The mathematical assertion that the diophantine equation with parameter k has nosolution encodes the assertion that the kth computer program never halts.  
    http://www.cs.auckland.ac.nz/CDMTCS/chaitin/sciamer2.html

20. Diophantine Equation (FWD)
    27 Nov 1998 diophantine equation (FWD), by Antreas P. Hatzipolakis  
    http://mathforum.com/epigone/math-history-list/gandplyston

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