THE P-ADIC FIELD CASE OF THE FUNCTIONAL EQUATION P(f)=Q(g)

  • Nguyen Trong Hoa
Keywords: non-Archimedean field, Hilbert’s Tenth problem, meromorphic function, hyperbolicity, genus

Abstract

In this paper, we study the existence of non constant meromorphic solutions f and g of the functional equation P(f)=Q(g), where P(z) and Q(z) are two given nonlinear polynomials with coefficients in the non-Archimedean field K.

Published
2020-03-02