{
  "id": "1001.3381",
  "version": "v2",
  "published": "2010-01-19T19:03:35.000Z",
  "updated": "2010-09-30T19:01:11.000Z",
  "title": "Effective Irrationality Measures and Approximation by Algebraic Conjugates",
  "authors": [
    "Paul Voutier"
  ],
  "comment": "14 pages",
  "journal": "Acta Arith. 149 (2011), 131-143",
  "doi": "10.4064/aa149-2-3",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we present a result on using algebraic conjugates to form a sequence of approximations to an algebraic number, and in this way obtain effective irrationality measures for related algebraic numbers. From this result, we are able to generalise Thue's Fundamentaltheorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-09-30T19:01:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J82",
      "11J68"
    ],
    "keywords": [
      "effective irrationality measures",
      "algebraic conjugates",
      "approximation",
      "generalise thues fundamentaltheorem",
      "related algebraic numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}