{
  "id": "math/0612106",
  "version": "v2",
  "published": "2006-12-04T21:42:44.000Z",
  "updated": "2008-02-08T22:25:30.000Z",
  "title": "Moments of the Riemann zeta-function",
  "authors": [
    "K. Soundararajan"
  ],
  "comment": "11 pages; Version 2 has some significant changes in the exposition",
  "categories": [
    "math.NT"
  ],
  "abstract": "Assuming the Riemann Hypothesis we obtain an upper bound for the moments of the Riemann zeta-function on the critical line. Our bound is nearly as sharp as the conjectured asymptotic formulae for these moments. The method extends to moments in families of $L$-functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-08T22:25:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta-function",
      "riemann hypothesis",
      "upper bound",
      "conjectured asymptotic formulae",
      "method extends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12106S"
    }
  }
}