A Capelli type theorem for multiplicative convolutions of polynomials

DOI10.1002/mana.200510674zbMath1165.12002OpenAlexW2003636995MaRDI QIDQ3530073

Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat

Publication date: 15 October 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510674

zbMATH Keywords

irreducible polynomialsnonarchimedean absolute valueconvolution of polynomialsCapelli's theorem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05)

Related Items (5)

Irreducible multivariate polynomials obtained from polynomials in fewer variables. II ⋮ Irreducibility criteria for the sum of two relatively prime multivariate polynomials ⋮ Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials ⋮ Bounds for the Multiplicities of the Irreducible Factors of a Multivariate Polynomial ⋮ On the number of factors of convolutions of polynomials with integer coefficients

Cites Work

• On a special case of Hilbert's irreducibility theorem
• Irreducibility results for compositions of polynomials in several variables
• Upper bounds for the number of factors for a class of polynomials with rational coefficients
• Unnamed Item

This page was built for publication: A Capelli type theorem for multiplicative convolutions of polynomials