On the generalized Fermat equation over totally real fields

• Autorzy: Heline Deconinck
• Języki publikacji: EN

Abstrakty

EN

In a recent paper, Freitas and Siksek proved an asymptotic 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 $Ax^{p} + By^{p} + Cz^{p} = 0$, where A, B, C are odd integers belonging to a totally real field.

Kategorie tematyczne

• 11F80: Galois representations
• 11D41: Higher degree equations; Fermat's equation
• 11F03: Modular and automorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2016
• Tom: 173
• Numer: 3
• Strony: 225-237

Daty

wydano

2016

Twórcy

autor

Heline Deconinck

• Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom

Identyfikatory

DOI

10.4064/aa8171-1-2016