Irreducibility of a sum of polynomials depending on disjoint sets of variables

Vikramjeet Singh Chandel () and Uma Dayal ()
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Vikramjeet Singh Chandel: Harish-Chandra Research Institute
Uma Dayal: Harish-Chandra Research Institute

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 609-616

Abstract: Abstract In this article, we give two different sufficient conditions for the irreducibility of a polynomial of more than one variable, over an algebraically closed field, that can be written as a sum of two polynomials which depend on mutually disjoint sets of variables. These conditions are derived from analyzing the Newton polytope of such a polynomial and then applying the ‘Irreducibility criterion’ introduced by Gao.

Keywords: Multivariable polynomial; Irreducibility; Convex hull; Newton polytope; Hyperplane; Primary: 52B20; Secondary: 13P05 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00152-2

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