On Fermat Diophantine functional equations and little Picard theorem

Abstract

We discuss equivalence conditions on the non-existence of non-trivial meromorphic solution to the Fermat Diophantine equations $f^m(z)+g^n(z)=1$ with integers $m,n\ge 2$, from which other approaches to prove little Picard theorem are provided.

Cited by in corpus (1)

• All meromorphic solutions of Fermat-type functional equations