{
  "id": "2205.08899",
  "version": "v1",
  "published": "2022-05-18T12:40:57.000Z",
  "updated": "2022-05-18T12:40:57.000Z",
  "title": "A kit for linear forms in three logarithms",
  "authors": [
    "Maurice Mignotte",
    "Paul Voutier"
  ],
  "comment": "Comments very welcome! We hope the kit is very useful for others",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we provide a technique to obtain explicit bounds for problems that can be reduced to linear forms in three logarithms of algebraic numbers. This technique can produce bounds significantly better than general results on lower bounds for linear forms in logarithms. We also give worked examples to demonstrate the improvements and to help readers see how to apply our technique.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-18T12:40:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J86",
      "11D61"
    ],
    "keywords": [
      "linear forms",
      "logarithms",
      "produce bounds significantly better",
      "explicit bounds",
      "algebraic numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}