On the factors of a polynomial

DOI10.1112/blms.12315zbMath1455.11144OpenAlexW3000997194MaRDI QIDQ5110608

Anuj Jakhar

Publication date: 21 May 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms.12315

zbMATH Keywords

irreducible polynomialvalued fieldDumas irreducibility criterion

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09) Valued fields (12J10)

Related Items (6)

Discriminant and integral basis of quintic fields defined by x5 + ax + b ⋮ Discriminant and integral basis of sextic fields defined by x6+ax+b ⋮ On power basis of a class of number fields ⋮ A generalization of Eisenstein-Schönemann's irreducibility criterion ⋮ A simple generalization of the Schönemann-Eisenstein irreducibility criterion ⋮ On the degrees of irreducible factors of a polynomial

Cites Work

• A family of tests for irreducibility of polynomials
• On a mild generalization of the Schönemann irreducibility criterion
• On a generalization of Eisenstein's irreducibility criterion
• Prime Numbers and Irreducible Polynomials
• On a mild generalization of the Schönemann - Eisenstein - Dumas irreducibility criterion
• A mild generalization of Eisenstein’s criterion
• Valued Fields
• On an Irreducibility Criterion of M. Ram Murty

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