On the generalized Fermat equation over totally real fields

Heline Deconinck. "On the generalized Fermat equation over totally real fields." Acta Arithmetica 173.3 (2016): 225-237. <http://eudml.org/doc/286562>.

@article{HelineDeconinck2016,
abstract = {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.},
author = {Heline Deconinck},
journal = {Acta Arithmetica},
keywords = {Fermat equation; modularity; Galois representation; level lowering},
language = {eng},
number = {3},
pages = {225-237},
title = {On the generalized Fermat equation over totally real fields},
url = {http://eudml.org/doc/286562},
volume = {173},
year = {2016},
}

TY - JOUR
AU - Heline Deconinck
TI - On the generalized Fermat equation over totally real fields
JO - Acta Arithmetica
PY - 2016
VL - 173
IS - 3
SP - 225
EP - 237
AB - 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.
LA - eng
KW - Fermat equation; modularity; Galois representation; level lowering
UR - http://eudml.org/doc/286562
ER -