{
  "id": "math/0408304",
  "version": "v1",
  "published": "2004-08-23T08:24:27.000Z",
  "updated": "2004-08-23T08:24:27.000Z",
  "title": "Distances between the conjugates of an algebraic number",
  "authors": [
    "Jan-Hendrik Evertse"
  ],
  "comment": "Latex file; 18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Given a fixed number field K, we give non-trivial lower bounds for the distance between the conjugates of any number a from K in terms of the Mahler measure M(a) of a. In the case that K is a cubic field, our bound is best possible in terms of M(a). Our proof is based on Roth's theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-23T08:24:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J17",
      "11R04"
    ],
    "keywords": [
      "algebraic number",
      "conjugates",
      "non-trivial lower bounds",
      "roths theorem",
      "fixed number field"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8304E"
    }
  }
}