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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 You must Sign in before you can post messages.
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