Irreducibility via location of zeros

Jitender Singh, Sanjeev Kumar

Published 2023-09-15Version 1

In this paper, we obtain several new classes of irreducible polynomials having integer coefficients whose zeros lie inside an open disk around the origin or outside a closed annular region in the complex plane. Such irreducible polynomials are devised by imposing Perron--type sufficiency conditions on their coefficients.