{
  "id": "1504.06232",
  "version": "v1",
  "published": "2015-04-23T15:57:26.000Z",
  "updated": "2015-04-23T15:57:26.000Z",
  "title": "Multiplicative subsemigroups of the positive integers closed with respect to the number of digits",
  "authors": [
    "Simone Ugolini"
  ],
  "comment": "6 pages; preliminary version",
  "categories": [
    "math.NT",
    "math.GR"
  ],
  "abstract": "In this paper we present an alternative approach to a problem dealt with by Rosales et al. In particular, once a base $b$ for the representation of the integers is fixed, we describe a procedure for constructing the smallest multiplicative subsemigroup of the positive integers closed with respect to the number of digits which contains a set of positive integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-23T15:57:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A05",
      "11A63",
      "20M14"
    ],
    "keywords": [
      "positive integers",
      "problem dealt",
      "smallest multiplicative subsemigroup",
      "representation",
      "alternative approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150406232U"
    }
  }
}