Factors of iterated resultants and discriminants
type: Item
instance of: scholarly article
title: Factors of iterated resultants and discriminants
zbMATH Open document ID: 0927.12005
author: Scott McCallum
published in: Journal of Symbolic Computation
publication date: 1999-12-16T00:00:00Z
review text: This paper is based on certain intriguing factorization properties of repeated resultants and discriminants of ``random'' integral polynomials observed by \textit{G. E. Collins} [Lect. Notes Comput. Sci. 33, 134-183 (1975; Zbl 0318.02051)]. The author proves some theorems concerning degrees, irreducibility, factorization and divisibility properties of polynomials arising from resultants, discriminants and derivatives of three generic polynomials in three variables. These theorems generalize in some sense Collins' observations.
reviewed by: Juan Sabia
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 13P05
zbMATH DE Number: 1275077
zbMATH Keywords: degrees
zbMATH Keywords: irreducibility
zbMATH Keywords: factorization
zbMATH Keywords: divisibility
zbMATH Keywords: polynomials
zbMATH Keywords: resultants
zbMATH Keywords: discriminant
MaRDI profile type: Publication
full work available at URL: jsco.1998.0257
OpenAlex ID: W2032485370
DOI: 10.1006/JSCO.1998.0257
description: scientific article; zbMATH DE number 1275077