Irreducibility via location of zeros

Abstract

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.

10 pages (Some errors corrected, and equivalence of a Lemma of Singh and Kumar with that of Bonciocat et al. is proved)