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 > > >