On the number of factors of convolutions of polynomials with integer coefficients

A. I. Bonciocat, N. C. Bonciocat, A. Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

We obtain some irreducibility criteria for a class of polynomials of the form hdeg f · f(g/h), where f, g, h are polynomials with integer coefficients, g and h relatively prime, in terms of the prime factorization of the leading coefficient of hdeg f · f(g/h), the degrees of f, g, h, and the size of their coefficients.

Original languageEnglish (US)
Pages (from-to)417-431
Number of pages15
JournalRocky Mountain Journal of Mathematics
Volume38
Issue number2
DOIs
StatePublished - 2008

Keywords

  • Convolution of polynomials
  • Resultants

ASJC Scopus subject areas

  • General Mathematics

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