Number Theory

    

Le Théorème de Fermat-Wiles et le Critère de Eisenstein

Authors: Ahmed Idrissi Bouyahyaoui

Let P(X) a polynomial associated to the Fermat's equation x^p+y^p-z^p=0 (p is an odd prime number) and R(X) its reduction modulo k (k is a prime number): R(X)= P(X) [k]. R(X) is irreducible (Eisenstein criterion) and, therefore, P(X) is irreducible. P(X) being irreducible, it hasn't integer roots and so the associated equation x^p+y^p-z^p=0 hasn't nonzero integer solutions for all odd prime number p.

Comments: 4 Pages. Summary is in English and article is in French.

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Submission history

[v1] 2013-04-12 19:41:05
[v2] 2013-04-18 04:34:26

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