An irreducibility criterion for the sum of two relatively prime polynomials

DOI10.7169/facm/2016.54.2.3zbMath1407.11123OpenAlexW2464473533MaRDI QIDQ1744947

Nicolae Ciprian Bonciocat

Publication date: 20 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1466450665

zbMATH Keywords

resultantprime numbersirreducible polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09)

Related Items (1)

Irreducibility criteria for the sum of two relatively prime multivariate polynomials

Cites Work

• Irreducibility results for compositions of polynomials with integer coefficients
• On the number of factors of convolutions of polynomials with integer coefficients
• On Hilbert's irreducibility theorem
• On a special case of Hilbert's irreducibility theorem
• IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS
• Upper bounds for the number of factors for a class of polynomials with rational coefficients
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