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SURVEY ON p-ADIC NEVANLINNA THEORY AND ITS APPLICATIONS TO DIFFERENTIAL EQUATIONS

SURVEY ON p-ADIC NEVANLINNA THEORY AND ITS APPLICATIONS TO DIFFERENTIAL EQUATIONS

In this paper, we will give a brief survey on Nevanlinna theory of p-adic meromorphic functions and some of its applications. Also we will study p-adic meromorphic solutions of dierential equations, and show that some dierential equations have no admissible transcendental p-adic meromorphic solutions as in the complex-valued function cases.