# On factorization of p-adic meromorphic functions

## TL;DR

This paper investigates the properties of p-adic meromorphic functions, focusing on primeness, pseudo primeness, and permutability, providing conditions under which these functions exhibit such properties.

## Contribution

It introduces new criteria for primeness and pseudo primeness of p-adic meromorphic functions and explores their permutability, advancing understanding of their algebraic structure.

## Key findings

- Sufficient conditions for primeness of p-adic meromorphic functions
- Criteria for pseudo primeness in p-adic context
- Results on permutability of entire functions

## Abstract

In this paper, we study primeness and pseudo primeness of p-adic meromorphic functions. We also consider left (resp. right ) primeness of these functions. We give, in particular, sufficient conditions for a meromorphic function to satisfy such properties. Finally, we consider the problem of permutability of entire functions.