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Old 2009-12-11, 03:51   #4
flouran
 
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Dec 2008

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Quote:
Originally Posted by cmd View Post
Hilbert (10)

L(k,n,x,y,z,...)=R(k,n,x,y,z,...)

no solutions
Are you saying then that the reason why x^10+y^10+z^10 = t^4 does not have any solutions in positive integers is a direct consequence of Matiyasevich's Theorem?

I think that the incorporation of certain ingredients of Matiyasevich's proof and a variant of FLT can be used to prove that x^10+y^10+z^10 = t^4 does not have any solutions in positive integers.
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