{
  "id": "math/0307322",
  "version": "v2",
  "published": "2003-07-24T10:04:27.000Z",
  "updated": "2003-12-11T20:45:00.000Z",
  "title": "LLL & ABC",
  "authors": [
    "Tim Dokchitser"
  ],
  "comment": "6 pages; record algebraic example included; final version, to appear in J. Number Theory",
  "journal": "J. Number Theory 107, No.1 (2004), 161-167",
  "doi": "10.1016/j.jnt.2004.02.003",
  "categories": [
    "math.NT"
  ],
  "abstract": "This note is an observation that the LLL algorithm applied to prime powers can be used to find \"good\" examples for the ABC and Szpiro conjectures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-12-11T20:45:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D04",
      "11D41",
      "11D99"
    ],
    "keywords": [
      "prime powers",
      "szpiro conjectures",
      "lll algorithm"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}