A survey on \(p\)-adic Nevanlinna theory and its applications to differential equations (Q1301994)

This paper gives a survey of works that the authors have done in \(p\)-adic Nevanlinna theory. In particular the following topics are covered: The first and second main theorem for \(p\)-adic meromorphic functions; The lemma of logarithmic derivative; The first and second main theorem with moving targets; uniqueness of \(p\)-adic meromorphic functions; Applications to differential equations, especially to Malmquist-type equations.