{
  "id": "1508.03970",
  "version": "v1",
  "published": "2015-08-17T10:38:17.000Z",
  "updated": "2015-08-17T10:38:17.000Z",
  "title": "Representation of positive integers by the form $x_1...x_k + x_1 + ... + x_k$",
  "authors": [
    "Vladimir Shevelev"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "For an arbitrary given $k\\geq3,$ we consider a possibility of representation of a positive number $n$ by the form $x_1...x_k+x_1+...+x_k, 1\\leq x_1\\leq ... \\leq x_k.$ We also study a question on the smallest value of $k\\geq3$ in such a representation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-17T10:38:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N32"
    ],
    "keywords": [
      "positive integers",
      "representation",
      "smallest value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150803970S"
    }
  }
}