{
  "id": "1109.3580",
  "version": "v1",
  "published": "2011-09-16T10:59:01.000Z",
  "updated": "2011-09-16T10:59:01.000Z",
  "title": "An integral representation of divisor function. An equation for prime numbers",
  "authors": [
    "E. E. Kholupenko"
  ],
  "comment": "5 text pages, 2 figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "A representation of divisor function $\\tau(n)\\equiv \\sigma_{0}(n)$ by means of logarithmic residue of a function of complex variable is suggested. This representation may be useful theoretical instrument for further investigations of properties of natural numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-16T10:59:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "divisor function",
      "prime numbers",
      "integral representation",
      "logarithmic residue",
      "natural numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.3580K"
    }
  }
}