Waring's problem for binary forms
type: Item
instance of: scholarly article
title: Waring's problem for binary forms
zbMATH Open document ID: 0791.11020
DOI: 10.1016/0022-4049(92)90067-P
published in: Journal of Pure and Applied Algebra
publication date: 1993-01-16T00:00:00Z
review text: The author considers the classical problem of decomposing a binary form of degree \(d\) into a sum of \(d\)th powers of linear forms. The problem is solved for arbitrary binary forms with coefficients in a real or algebraically closed field. The analysis is based on continued fractions and Padé approximation theory. A connection with partial realizations in control theory is made.
Mathematics Subject Classification ID: 11E76
Mathematics Subject Classification ID: 11P05
zbMATH DE Number: 89571
zbMATH Keywords: decomposition of binary forms of higher degree
zbMATH Keywords: sums of higher powers of linear forms
author: Uwe Helmke
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
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Wikidata QID: Q127771445
description: scientific article; zbMATH DE number 89571