{
  "id": "2309.14748",
  "version": "v1",
  "published": "2023-09-26T08:16:37.000Z",
  "updated": "2023-09-26T08:16:37.000Z",
  "title": "Discrepancy estimates related to the fractional parts of $b^n/n$",
  "authors": [
    "Martin Lind"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a discrepancy estimate related to the sequence of fractional parts of $b^n/n$. This improves an earlier result of Cilleruelo et al.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-26T08:16:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11K38",
      "11B05"
    ],
    "keywords": [
      "fractional parts",
      "discrepancy estimate",
      "earlier result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}