{ "id": "1908.05587", "version": "v1", "published": "2019-08-15T15:34:24.000Z", "updated": "2019-08-15T15:34:24.000Z", "title": "A New Class of Irreducible Polynomials", "authors": [ "Jitender Singh", "Sanjeev Kumar" ], "categories": [ "math.NT", "math.AC" ], "abstract": "In this article, we propose a few sufficient conditions on polynomials having integer coefficients all of whose zeros lie outside the closed unit disc centered at the origin in the complex plane and deduce the irreducibility over the ring of integers.", "revisions": [ { "version": "v1", "updated": "2019-08-15T15:34:24.000Z" } ], "analyses": { "subjects": [ "12E05", "11C08" ], "keywords": [ "irreducible polynomials", "zeros lie outside", "integer coefficients", "complex plane", "sufficient conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }