Asymptotic Fermat's last theorem for a family of equations of signature (2,2n,n)$(2, 2n, n)$
Year: 2024
Type: article
Abstract: In this paper, we study the integer solutions of a family of Fermat‐type equations of signature , . We provide an algorithmically testable set of conditions which, if satisfied, imply the existence of a constant such that if , there are no solutions of the equation. Our methods use the modular method for Diophantine equations, along with level lowering and Galois theory.
Source: Mathematika
DOI: 10.1112/mtk.12279
Author: Pedro‐José Cazorla García
Institution: University of Manchester
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,780
OpenAlex ID: W4401997302