Picard constants of three-sheeted algebroid surfaces with \(p(y)=5\)
type: Item
instance of: scholarly article
title: Picard constants of three-sheeted algebroid surfaces with \(p(y)=5\)
zbMATH Open document ID: 0974.30566
author: Kazunari Sawada
published in: Kodai Mathematical Journal
publication date: 2001-12-09T00:00:00Z
review text: In [Kodai Math. J. 18, 142-155 (1995; Zbl 0835.30023)], \textit{K. Sawada} and \textit{K. Tohge} proved that every three-sheeted algebroid Riemann surface defined by \(y^3-S_1(z)y^2+S_2(z)y=S_3(z)\) with entire coefficients and the number of Picard values \(p(y)=5\), has its Picard constant \(P(R)=\sup p(f)\), \(f\) meromorphic non-constant on~\(R\), provided its discriminant is not of the form \(e^{\delta H}(Ae^{4H}+B)\), \(\delta=0\) or \(\delta=1\). In the present paper, the additional restriction will be removed.
reviewed by: Ilpo Laine
Mathematics Subject Classification ID: 30D99
Mathematics Subject Classification ID: 30F99
zbMATH DE Number: 1547128
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138044214
OpenAlex ID: W1998850069
cites work: Picard constant of a finitely sheeted covering surface
cites work: Q5723337
cites work: On a characterization of regularly branched three-sheeted covering Riemann surfaces
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cites work: On complex analytic mappings
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cites work: Three-sheeted algebroid surfaces whose Picard constants are five
cites work: A remark on three-sheeted algebroid surfaces whose Picard constants are five
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DOI: 10.2996/KMJ/1138044214
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description: scientific article; zbMATH DE number 1547128