{
  "id": "2112.06156",
  "version": "v2",
  "published": "2021-12-12T06:00:05.000Z",
  "updated": "2023-10-01T06:08:38.000Z",
  "title": "On general sums involving the floor function with applications to $k$-free numbers",
  "authors": [
    "Wei Zhang"
  ],
  "comment": "Accepted by Lith. Math. J",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we consider sums related the floor function. We can improve some previous results for some special arithmetic functions considered by Bordell\\'es [3], Stucky[9] and Liu-Wu-Yang [6]. We can also give a refined result for previous results for general function considered by Bordell\\'es, Dai, Heyman, Pan and Shparlinski [1] and Wu [11].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-10-01T06:08:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37",
      "11L07"
    ],
    "keywords": [
      "floor function",
      "free numbers",
      "general sums",
      "applications",
      "special arithmetic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}