{
  "id": "1111.0925",
  "version": "v1",
  "published": "2011-11-03T17:36:25.000Z",
  "updated": "2011-11-03T17:36:25.000Z",
  "title": "The second shifted moment of the Riemann zeta function",
  "authors": [
    "Sandro Bettin"
  ],
  "comment": "10 pages",
  "journal": "Int. J. Number Theory 6 (2010), no. 8, 1933--1944",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove an asymptotic formula for the second moment (up to height $T$) of the Riemann zeta function with two shifts. The case we deal with is where the real parts of the shifts are very close to zero and the imaginary parts can grow up to $T^{2-\\epsilon}$, for any $\\epsilon>0.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-03T17:36:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "riemann zeta function",
      "second shifted moment",
      "asymptotic formula",
      "second moment",
      "real parts"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.0925B"
    }
  }
}