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Message from discussion Application of Diophantine equations
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Konstantin Smirnov  
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 More options Oct 6 2009, 9:19 pm
Newsgroups: sci.math
From: Konstantin Smirnov <konstantin.e.smir...@gmail.com>
Date: Tue, 6 Oct 2009 14:19:58 -0700 (PDT)
Local: Tues, Oct 6 2009 9:19 pm
Subject: Application of Diophantine equations
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


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