A Generalization of Girstmair's Irreducibility Criterion

TL;DR

This paper extends existing irreducibility criteria for polynomials, providing a broader generalization of Girstmair's and Murty's conditions to identify irreducible polynomials more effectively.

Contribution

The paper introduces a further generalization of Girstmair's and Murty's irreducibility criteria, enhancing their applicability and scope.

Findings

Extended the criteria to broader classes of polynomials

Provided new theoretical conditions for irreducibility

Improved methods for polynomial irreducibility testing

Abstract

Girstmair in [1, Theorem 1] gave a generalization of Murty's irreducibility criterion (see [2, Theorem 1]). In this article, we further generalize these criteria.