Irreducibility results for compositions of polynomials with integer coefficients
type: Item
instance of: scholarly article
title: Irreducibility results for compositions of polynomials with integer coefficients
zbMATH Open document ID: 1105.11004
author: Anca Iuliana Bonciocat
author: Alexandru Zaharescu
published in: Monatshefte für Mathematik
publication date: 2007-02-15T00:00:00Z
review text: The paper begins by a very interesting survey of results on irreducibility of composite polynomials. In this work, the authors obtain explicit upper bounds for the number of irreducible factors for a class of polynomials of the form \(f \circ g\), where \(f\) and \(g\) are polynomials with integer coefficients, in terms of the degrees of \(f\) and \(g\), and the size of the coefficients of \(f\). In particular, some irreducibility results are given for this class of composite polynomials. The methods of proofs are essentially elementary.
Mathematics Subject Classification ID: 11C08
zbMATH DE Number: 5126992
zbMATH Keywords: composition of polynomials
zbMATH Keywords: irreducibility of polynomials
reviewed by: Maurice Mignotte
MaRDI profile type: Publication
full work available at URL: s00605-005-0400-6
OpenAlex ID: W2072290228
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DOI: 10.1007/S00605-005-0400-6
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description: scientific article; zbMATH DE number 5126992