{
  "id": "1606.04533",
  "version": "v1",
  "published": "2016-06-14T13:32:49.000Z",
  "updated": "2016-06-14T13:32:49.000Z",
  "title": "On functions without a normal order",
  "authors": [
    "Peter Shiu"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The method of Tur\\'an in establishing the normal order for the number of prime divisors of a number is used to show that a certain class of arithmetic functions do not have a normal order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-14T13:32:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25"
    ],
    "keywords": [
      "normal order",
      "prime divisors",
      "arithmetic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}