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A survey on the \(p\)-adic Nevanlinna theory and recent articles. (Q1396083)

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scientific article; zbMATH DE number 1941857
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English
A survey on the \(p\)-adic Nevanlinna theory and recent articles.
scientific article; zbMATH DE number 1941857

    Statements

    A survey on the \(p\)-adic Nevanlinna theory and recent articles. (English)
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    19 November 2003
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    The paper under review is a survey article on the \(p\)-adic Nevanlinna theory. The author first gives a brief survey on \(p\)-adic Nevanlinna theory for \(p\)-adic meromorphic functions on \(\mathbb{C}_p\). Next, the theory of \(p\)-adic holomorphic curves due to Khoai, Cherry and Ye is presented. As its applications, he also gives some topics such as the \(p\)-adic hyperbolic spaces and the unique range sets for \(p\)-adic meromorphic functions.
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    \(p\)-adic Nevanlinna theory
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    hyperbolic surface
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    unique range set
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    survey
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    \(p\)-adic holomorphic curves
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    \(p\)-adic meromorphic functions
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