On solving equations of algebraic sum of equal powers
type: Item
instance of: scholarly article
title: On solving equations of algebraic sum of equal powers
zbMATH Open document ID: 1110.11011
author: Xinghau Wang
author: Shijun Yang
published in: Science in China. Series A
publication date: 2007-02-16T00:00:00Z
review text: The authors are interested in the system of equations \[ x_1^j+x_2^j+\ldots+x_k^j-x_{k+1}^j-x_{k+2}^j-\ldots-x_n^j=p_j, \] for \(j=1,\ldots,n\). They reduce it to two equations, the first of degree \(k\), and the second of degree \(n-k\).
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11C08
Mathematics Subject Classification ID: 11D79
zbMATH DE Number: 5127931
zbMATH Keywords: algebraic sum of equal powers
zbMATH Keywords: Newton's identities
zbMATH Keywords: system of equations
zbMATH Keywords: roots of a polynomial
MaRDI profile type: Publication
full work available at URL: s11425-006-1153-y
OpenAlex ID: W1500807497
cites work: Q3901592
cites work: The best quadrature based on given Hermite information for the Sobolev class \(KW^{r}[a, b]\)
cites work: Q4769056
cites work: Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen
cites work: Q3327628
DOI: 10.1007/S11425-006-1153-Y
description: scientific article; zbMATH DE number 5127931