Counting primitive integral solutions to generalized Fermat equations

Abstract: I will explain the method of Fermat descent; a modern incarnation of Fermat's method of infinite descent (see arxiv.org/abs/2508.13059 ), and then use it to prove a refinement of Beukers' famous theorem on the existence of parametrized solutions to spherical Fermat equations (see arxiv.org/abs/2508.13093 ).

number theory

Audience: researchers in the topic

( paper )

Five College Number Theory Seminar