Sums of 2n-th powers of real meromorphic functions
type: Item
instance of: scholarly article
title: Sums of 2n-th powers of real meromorphic functions
zbMATH Open document ID: 0691.12007
DOI: 10.1007/BF01300919
author: Wojciech Kucharz
published in: Monatshefte für Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178417
review text: Let F be the field of real meromorphic functions on a compact connected real analytic surface. Given a positive integer n, we characterize those elements of F which can be written as a sum of 2n-th powers of elements of F.
Mathematics Subject Classification ID: 12D15
Mathematics Subject Classification ID: 32C15
Mathematics Subject Classification ID: 14Pxx
zbMATH DE Number: 4130496
zbMATH Keywords: formally real function field
zbMATH Keywords: sum of 2n-th powers
zbMATH Keywords: real meromorphic functions
zbMATH Keywords: real analytic surface
MaRDI profile type: Publication
cites work: A Relative Nash Theorem
cites work: On algebraicity of global real analytic sets and functions
cites work: Resolution of singularities of an algebraic variety over a field of characteristic zero. I
cites work: Differential Topology
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cites work: On Hilbert's 17th problem and real Nullstellensatz for global analytic functions
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description: scientific article; zbMATH DE number 4130496