On some bounds for zeros of norm-bounded polynomials
type: Item
instance of: scholarly article
title: On some bounds for zeros of norm-bounded polynomials
zbMATH Open document ID: 0823.30005
author: Osami Yamamoto
published in: Journal of Symbolic Computation
publication date: 1995-06-08T00:00:00Z
review text: Let \(P(M, n)\) denote the set of all irreducible polynomials over \(\mathbb{Z}\) of degree at most \(n\) and of norm at most \(M\) and let \(\mathbb{Z}(M, n)\) denote the set of all zeros of polynomials in \(P(M, n)\). The author defines a sufficiently large region that does not contain any zeros in \(\mathbb{Z}(M, n)\) and is easy to analyze. Three norms are considered, that is, 1-norm, 2-norm and \(\infty\)-norm. He describes such regions. Moreover, he calculates the distributions of their zeros by computer and compares them with the regions.
Mathematics Subject Classification ID: 30C15
zbMATH DE Number: 762005
zbMATH Keywords: norm-bounded zeros
zbMATH Keywords: polynomials
reviewed by: Takahiko Nakazi
MaRDI profile type: Publication
full work available at URL: jsco.1994.1056
OpenAlex ID: W1966094665
DOI: 10.1006/JSCO.1994.1056
description: scientific article; zbMATH DE number 762005