Shared values of meromorphic functions on compact Riemann surfaces
type: Item
instance of: scholarly article
title: Shared values of meromorphic functions on compact Riemann surfaces
zbMATH Open document ID: 1065.30029
author: Andreas Schweizer
published in: Archiv der Mathematik
publication date: 2005-02-22T00:00:00Z
review text: Let \(S\) be a compact Riemann surface, the author derives upper bounds for the number of values that two non-constant meromorphic functions on \(S\) can share. The interesting result is his Theorem 3: Let \(S\) be a gonality \(d\). If two non-constant meromorphic functions on \(S\) share \(2d+2\) values, then they are equal.
reviewed by: Jianyong Qiao
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 30F10
zbMATH DE Number: 2137044
zbMATH Keywords: Riemann surface
zbMATH Keywords: meromorphic function
zbMATH Keywords: shared value
MaRDI profile type: Publication
full work available at URL: s00013-004-1104-1
OpenAlex ID: W2012714175
DOI: 10.1007/S00013-004-1104-1
description: scientific article; zbMATH DE number 2137044