{
  "id": "1211.3110",
  "version": "v1",
  "published": "2012-11-13T20:59:37.000Z",
  "updated": "2012-11-13T20:59:37.000Z",
  "title": "An effective lower bound for the height of algebraic numbers",
  "authors": [
    "Paul Voutier"
  ],
  "journal": "Acta Arith. 74(1996), 81--95",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that if $\\alpha$ is a non-zero algebraic number of degree $d \\geq 2$ which is not a root of unity, then $dh(\\alpha)>(1/4) (\\log(\\log (d))/\\log(d))^3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-13T20:59:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J25",
      "11R06"
    ],
    "keywords": [
      "effective lower bound",
      "non-zero algebraic number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.3110V"
    }
  }
}