{
  "id": "1910.11835",
  "version": "v1",
  "published": "2019-10-25T16:41:35.000Z",
  "updated": "2019-10-25T16:41:35.000Z",
  "title": "On sums of the small divisors of a natural number",
  "authors": [
    "Douglas E. Iannucci"
  ],
  "comment": "12 pages. One figure",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider the positive divisors of a natural number that do not exceed its square root, to which we refer as the {\\it small divisors\\/} of the natural number. We determine the asymptotic behavior of the arithmetic function that adds the small divisors of a natural number, and we consider its Dirichlet generating series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-25T16:41:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25"
    ],
    "keywords": [
      "natural number",
      "small divisors",
      "square root",
      "asymptotic behavior",
      "arithmetic function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}