{
  "id": "2408.04982",
  "version": "v1",
  "published": "2024-08-09T10:24:09.000Z",
  "updated": "2024-08-09T10:24:09.000Z",
  "title": "Integers represented by Lucas sequences",
  "authors": [
    "L. Hajdu",
    "R. Tijdeman"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we study the sets of integers which are $n$-th terms of Lucas sequences. We establish lower- and upper bounds for the size of these sets. These bounds are sharp for $n$ sufficiently large. We also develop bounds on the growth order of the terms of Lucas sequences that are independent of the parameters of the sequence, which is a new feature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-09T10:24:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lucas sequences",
      "th terms",
      "upper bounds",
      "growth order",
      "independent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}