IRREDUCIBILITY CRITERIA FOR SUMS OF TWO RELATIVELY PRIME POLYNOMIALS

DOI10.1142/S1793042113500413zbMath1303.11119OpenAlexW1976219412MaRDI QIDQ2850706

Maurice Mignotte, Mihai Cipu, Nicolae Ciprian Bonciocat, Yann Bugeaud

Publication date: 30 September 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042113500413

zbMATH Keywords

Newton polygonresultantprime numbersirreducible polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09)

Related Items (6)

Irreducibility criteria for the sum of two relatively prime multivariate polynomials ⋮ On two conjectures of irreducible polynomials ⋮ Computational aspects of irreducible polynomials ⋮ An irreducibility criterion for the sum of two relatively prime polynomials ⋮ Irreducibility criteria for compositions of polynomials with integer coefficients ⋮ Apollonius circles and irreducibility criteria for polynomials

Cites Work

• Laguerre polynomials with Galois group \(A_m\) for each \(m\)
• On the Galois group of generalized Laguerre polynomials
• Irreducibility results for compositions of polynomials with integer coefficients
• On the number of factors of convolutions of polynomials with integer coefficients
• Some \(\widetilde A_ n\)-extensions obtained from generalized Laguerre polynomials
• On the irreducibility of a certain class of Laguerre polynomials
• On a special case of Hilbert's irreducibility theorem
• On a certain family of generalized Laguerre polynomials
• The irreducibility of all but finitely many Bessel polynomials
• Algebraic Properties of a Family of Generalized Laguerre Polynomials
• On the irreducibility of the generalized Laguerre polynomials
• Upper bounds for the number of factors for a class of polynomials with rational coefficients

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