{
  "id": "2010.07353",
  "version": "v1",
  "published": "2020-10-14T18:40:20.000Z",
  "updated": "2020-10-14T18:40:20.000Z",
  "title": "On the number of partitions of $n$ whose product of the summands is at most $n$",
  "authors": [
    "Pankaj Jyoti Mahanta"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We prove an explicit formula to count the partitions of $n$ whose product of the summands is at most $n$. In the process, we also deduce a result to count the multiplicative partitions of $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-14T18:40:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P81",
      "05A17"
    ],
    "keywords": [
      "explicit formula",
      "multiplicative partitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}