In this paper we discuss the value distribution problem for $p$ -adic meromorphic functions and their derivatives, and prove a generalized version of the Hayman Conjecture for $p$ -adic meromorphic functions.

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Sur le théorème de Morera p -adique

Sur la théorie de Nevanlinna p -adique

Sur les séries L associées aux formes modulaires

Value distribution problem for p -adic meromorphic functions and their derivatives

Sur le théorème de Morera $p$ -adique

Sur la théorie de Nevanlinna $p$ -adique

Sur les séries $L$ associées aux formes modulaires

Value distribution problem for $p$ -adic meromorphic functions and their derivatives