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MathGroup Archive 2000

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Re: Diophantine Equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg21569] Re: Diophantine Equations
  • From: "Atul Sharma" <atulksharma at yahoo.com>
  • Date: Sat, 15 Jan 2000 02:04:11 -0500 (EST)
  • References: <85cmvh$lh3@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

There is a package in MathSource (which I haven't used), with functiosn to
solve linear diophantine equations.

http://www.mathsource.com/Content/WhatsNew/0207-751

.... Several other functions are defined: computation of left and right
GCD's, lcm's, quotients, remainders, row/column proper forms, full rank and
coprimality tests, extended polynomial GCD, solution of diophantine
equations. All functions work on matrices of polynomials in z or z^-1.

Also, Bill McClung from Nebraska Wesleyan University used to have a series
of notebooks for a number theory course, which included a Euclidean
algorithm (diophanGCD) for linear diophantine equations. I seem to have
misplaced the web site. Sorry.

A.S.




Matt wrote in message <85cmvh$lh3 at smc.vnet.net>...
>How can I solve Diophantine equations in Mathematica?  Also, is it possible
>to solve equations over the Gaussian integers (complex numbers with
integral
>parts)?
>
>Thanks in advance,
>Matt
>
>
>





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