The generalized Fermat equation $A{x}^2+B{y}^r=C{z}^p$ and applications

Pedro-José Cazorla García, Angelos Koutsianas, Lucas Villagra-Torcomian

In this paper, we develop the modular method for the generalized Fermat equation appearing in the title, within the framework of Darmon's program and using Frey hyperelliptic curve…