A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in \(\mathbb C^{n}\)
type: Item
instance of: scholarly article
title: A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in \(\mathbb C^{n}\)
zbMATH Open document ID: 1148.32002
author: Atsushi Atsuji
published in: Potential Analysis
publication date: 2008-09-15T00:00:00Z
review text: 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).
reviewed by: P. Z. Agranovich
Mathematics Subject Classification ID: 32A20
Mathematics Subject Classification ID: 32A22
Mathematics Subject Classification ID: 58J65
zbMATH DE Number: 5344010
zbMATH Keywords: Nevanlinna theory
zbMATH Keywords: minimal submanifold
zbMATH Keywords: holomorphic map
zbMATH Keywords: meromorphic function
zbMATH Keywords: Brownian motion
MaRDI profile type: Publication
full work available at URL: s11118-008-9091-7
OpenAlex ID: W2079704730
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DOI: 10.1007/S11118-008-9091-7
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description: scientific article; zbMATH DE number 5344010