{
  "id": "2309.08502",
  "version": "v1",
  "published": "2023-09-15T16:05:29.000Z",
  "updated": "2023-09-15T16:05:29.000Z",
  "title": "Irreducibility via location of zeros",
  "authors": [
    "Jitender Singh",
    "Sanjeev Kumar"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-15T16:05:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12E05",
      "30C15",
      "11C08",
      "26C10",
      "26D05",
      "30A10"
    ],
    "keywords": [
      "irreducibility",
      "irreducible polynomials",
      "zeros lie inside",
      "imposing perron-type sufficiency conditions",
      "integer coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}