Irreducibility results for compositions of polynomials in several variables

DOI10.1007/BF02829621zbMath1080.12002arXivmath/0607656OpenAlexW2047251345MaRDI QIDQ2483770

Anca Iuliana Bonciocat, Alexandru Zaharescu

Publication date: 1 August 2005

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607656

zbMATH Keywords

irreducibilitycomposition of polynomials

Mathematics Subject Classification ID

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

Related Items (6)

Irreducible multivariate polynomials obtained from polynomials in fewer variables. II ⋮ Irreducibility criteria for the sum of two relatively prime multivariate polynomials ⋮ A Capelli type theorem for multiplicative convolutions of polynomials ⋮ Irreducible multivariate polynomials obtained from polynomials in fewer variables ⋮ Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials ⋮ Bounds for the Multiplicities of the Irreducible Factors of a Multivariate Polynomial

Cites Work

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