{
  "id": "2012.11837",
  "version": "v1",
  "published": "2020-12-22T05:32:05.000Z",
  "updated": "2020-12-22T05:32:05.000Z",
  "title": "A summation of the number of distinct prime divisors of the lcm",
  "authors": [
    "Randell Heyman"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $x$ be a positive integer. We give an asymptotic result for $\\omega(\\operatorname{lcm}(m,n))$ summed over all positive integers $m$ and $n$ with $mn \\le x$. This answers an open question posed in a recent paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-22T05:32:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "distinct prime divisors",
      "positive integer",
      "asymptotic result",
      "open question"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}