{
  "id": "1706.01767",
  "version": "v1",
  "published": "2017-06-06T13:48:06.000Z",
  "updated": "2017-06-06T13:48:06.000Z",
  "title": "The necessary and sufficient condition for an algebraic integer to be a Salem number",
  "authors": [
    "Dragan Stankov"
  ],
  "comment": "7 pages, 1 figure, 2 tables",
  "categories": [
    "math.NT"
  ],
  "abstract": "We present a necessary and sufficient condition for a root greater than 1 of a monic reciprocal polynomial of an even degree at least 4, with integer coefficients, to be a Salem number. We also show a method for calculation the minimal polynomial of any power of the root and some properties of its coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-06T13:48:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R06"
    ],
    "keywords": [
      "sufficient condition",
      "salem number",
      "algebraic integer",
      "monic reciprocal polynomial",
      "root greater"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}