{
  "id": "2106.01983",
  "version": "v1",
  "published": "2021-06-03T16:59:58.000Z",
  "updated": "2021-06-03T16:59:58.000Z",
  "title": "The gamma function and a certain sequence of differences",
  "authors": [
    "David E. Radford"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We study a sequence of differences related to the problem of finding the smallest factorial $n!$ greater than or equal to $a^n$, where $a > 1$, using the gamma function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-03T16:59:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gamma function",
      "differences",
      "smallest factorial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}