Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials

DOI10.1080/00927872.2011.594136zbMath1318.11136OpenAlexW2047585228MaRDI QIDQ4902945

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

Publication date: 18 January 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.594136

zbMATH Keywords

nonarchimedean absolute valueirreducible multivariate polynomials

Mathematics Subject Classification ID

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

Related Items (2)

On some classes of irreducible polynomials ⋮ Apollonius circles and irreducibility criteria for polynomials

Cites Work

• Unnamed Item
• Irreducibility criteria of Schur-type and Pólya-type
• Irreducible multivariate polynomials obtained from polynomials in fewer variables
• On difference polynomials and hereditarily irreducible polynomials
• Irreducibility of \(f(u(x),v(y))\)
• Irreducibility results for compositions of polynomials in several variables
• Convex polyhedra and criteria for irreducibility
• Some classes of irreducible polynomials
• A Capelli type theorem for multiplicative convolutions of polynomials
• Criteria for the irreducibility of polynomials
• Criteria for the irreducibility of polynomials

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