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

2018/10/26 by Chandel, Vikramjeet Singh, Dayal, Uma
#Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 52B20 #Secondary: 13P05

paper · doi:10.48550/arxiv.1810.11342

Abstract

In this article, we give two different sufficient conditions for the irreducibility of a polynomial of more than one variable, over the field of complex numbers, 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.

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