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On the generalized Fermat equation over totally real fields

Published 22 May 2015 in math.NT | (1505.06117v1)

Abstract: In a paper, Freitas and Siksek proved an asypmtotic version of Fermat's Last Theorem for many totally real fields. We prove an extension of their result to generalized Fermat equations of the form $A xp+B yp+ C zp=0$, where $A$, $B$, $C$ are odd integers belonging to a totally real field.

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