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

Vikramjeet Singh Chandel; Uma Dayal

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arXiv · 1810.11342

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

Vikramjeet Singh Chandel·Uma Dayal

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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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Vikramjeet Singh Chandel, Uma Dayal. 2018-10-26. Irreducibility of a sum of polynomials depending on disjoint sets of variables. https://arxiv.org/abs/1810.11342

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