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Message from discussion Application of Diophantine equations
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maryK  
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 More options Oct 6 2009, 9:40 pm
Newsgroups: sci.math
From: "maryK" <inva...@invilidinvalid.com>
Date: Tue, 6 Oct 2009 16:40:21 -0500
Local: Tues, Oct 6 2009 9:40 pm
Subject: Re: Application of Diophantine equations

"Konstantin Smirnov" <konstantin.e.smir...@gmail.com> wrote in message

news:8cbfba3b-d0fb-4dc9-a3f4-ea0cafcf3634@a6g2000vbp.googlegroups.com...

> Dear number theorists,
> what you can say about modern applications of Diophantine equations,
> especially having large numbers solutions (>10^10-10^20)? In general,
> number
> theory is a standalone fundamental area, and Diophantine equations can
> be
> investigated only as a part of work in number theory. But can you
> suggest
> any significant applications that use Diophantine equations? If you
> work
> with such applications, please post what type of equations you use in
> this area.
> Mostly I am interested in equations like x^k+y^l+z^m=t^n. Is there any
> practical benefit from them or such equations are only of theoretical
> interest? What are main areas besides cryptography and coding?
> Also what is the fastest program for search of solutions of such
> equations? Mathematica, Maple, Pari GP or smth else?

> Thanks
> Konstantin

not much use for them
mathematical curiosities mostly

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