{
  "id": "1009.5092",
  "version": "v1",
  "published": "2010-09-26T13:16:44.000Z",
  "updated": "2010-09-26T13:16:44.000Z",
  "title": "Power multiples in binary recurrence sequences: an approach by congruences",
  "authors": [
    "Teresa Boggio",
    "Andrea Mori"
  ],
  "comment": "This is a full version (12 tables of computational data) of the paper submitted to the Rendiconti del Seminario Matematico of the University and Polytechnic of Turin",
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce an elementary congruence-based procedure to look for q-th power multiples in arbitrary binary recurrence sequences (q>2). The procedure allows to prove that no such multiples exist in many instances.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-26T13:16:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B39",
      "11B50"
    ],
    "keywords": [
      "congruences",
      "arbitrary binary recurrence sequences",
      "q-th power multiples",
      "elementary congruence-based procedure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.5092B"
    }
  }
}