{
  "id": "2011.10913",
  "version": "v1",
  "published": "2020-11-22T02:19:56.000Z",
  "updated": "2020-11-22T02:19:56.000Z",
  "title": "A hybrid inequality for the number of divisors of an integer",
  "authors": [
    "Patrick Letendre"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We establish an explicit inequality for the number of divisors of an integer $n$. It uses the size of $n$ and its number of distinct prime divisors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-22T02:19:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37",
      "11N56"
    ],
    "keywords": [
      "hybrid inequality",
      "distinct prime divisors",
      "explicit inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}