{
  "id": "2102.05480",
  "version": "v1",
  "published": "2021-02-10T15:09:04.000Z",
  "updated": "2021-02-10T15:09:04.000Z",
  "title": "On the distribution of lcm of k-tuples and related problems",
  "authors": [
    "Sungjin Kim"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the distribution of the least common multiple of positive integers in N\\cap [1, x] and related problems. We refine some results of Hilberdink and T\\'{o}th (2016). We also give a partial result toward a conjecture of Hilberdink, Luca, and T\\'{o}th (2020).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-10T15:09:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A05"
    ],
    "keywords": [
      "related problems",
      "distribution",
      "common multiple",
      "hilberdink"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}