{
  "id": "1001.2114",
  "version": "v2",
  "published": "2010-01-13T09:54:28.000Z",
  "updated": "2010-01-19T09:04:57.000Z",
  "title": "Jacob's ladders and the asymptotic formula for the integral of the eight order expression $|ζ(1/2+i\\vp_2(t))|^4|ζ(1/2+it)|^4$",
  "authors": [
    "Jan Moser"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "It is proved in this paper that there is a fine correlation between the values of $|\\zeta(1/2+i\\vp_2(t))|^4$ and $|\\zeta(1/2+it)|^4$ where $\\vp_2(t)$ stands for the Jacob's ladder of the second order. This new asymptotic formula cannot be obtained in known theories of Balasubramanian, Heath-Brown and Ivic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-19T09:04:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic formula",
      "jacobs ladder",
      "order expression",
      "fine correlation",
      "second order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.2114M"
    }
  }
}