On Darmon's program for the generalized Fermat equation, II
N Billerey, I Chen, L Dieulefait, N Freitas - Mathematics of Computation, 2024 - ams.org
We obtain additional Diophantine applications of the methods surrounding Darmon's
program for the generalized Fermat equation developed in the first part of this series of …
program for the generalized Fermat equation developed in the first part of this series of …
SOME EXTENSIONS OF THE MODULAR METHOD AND FERMAT EQUATIONS OF SIGNATURE
N Billerey, I Chen, L Dembélé… - Publicacions …, 2023 - projecteuclid.org
We provide several extensions of the modular method which were motivated by the problem
of completing previous work to prove that, for any integer n≥ 2, the equation x 13+ y 13= 3 …
of completing previous work to prove that, for any integer n≥ 2, the equation x 13+ y 13= 3 …
Enumeration of local and global étale algebras applied to generalized Fermat equations
PHC Putz - 2024 - research.vu.nl
In this thesis, we study a special class of Diophantine equations. Diophantine equations
have been studied since ancient times. For example, the Pythagoreans (around 400 BC) …
have been studied since ancient times. For example, the Pythagoreans (around 400 BC) …