{
  "id": "1204.5452",
  "version": "v1",
  "published": "2012-04-24T17:59:44.000Z",
  "updated": "2012-04-24T17:59:44.000Z",
  "title": "On the Mean Values of the Function $τ_k(n)$ in Sequences of Natural Numbers",
  "authors": [
    "K. M. Eminyan"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We obtain an asymptotic formula for the mean value of the function $\\tau_k(n)$, which is the number of solutions of the equation $x_1...\\, x_k=n$ in natural numbers $x_1,..., x_k$ in some special sequences of natural numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-24T17:59:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "natural numbers",
      "mean value",
      "asymptotic formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5452E"
    }
  }
}