A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in \(\mathbb C^{n}\) (Q944294)

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scientific article; zbMATH DE number 5344010
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A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in \(\mathbb C^{n}\)
scientific article; zbMATH DE number 5344010

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    A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in \(\mathbb C^{n}\) (English)
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    15 September 2008
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    The author establishes a second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in \(\mathbb C^n\) (Theorem 15). It is the central result of this paper. Moreover, for nonsingular algebraic submanifolds, he obtains a form of the remainder term in the second main theorem (Theorem 24).
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    Nevanlinna theory
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    minimal submanifold
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    holomorphic map
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    meromorphic function
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    Brownian motion
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