On meromorphic functions over non-Archimedean fields

C.C. Yang

Abstract:

We shall report on some recent developments in the meromorphic functions over non-Archimedean fields. Particularly,results on the non-Archimedean analogues of the unique range sets for meromorphic(or entire ) functions of complex variable as well as the generalized abc-theorem for non-Archimedean entire functions will be surveyed. The main tool used in these studies is the p-adic Nevanlinna theory.