{
  "id": "1505.04161",
  "version": "v1",
  "published": "2015-05-15T18:58:39.000Z",
  "updated": "2015-05-15T18:58:39.000Z",
  "title": "Decoupling for perturbed cones and mean square of $|ζ(\\frac 12+it)|$",
  "authors": [
    "Jean Bourgain",
    "Nigel Watt"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "An improved estimate is obtained for the mean square of the modulus of the zeta function on the critical line. It is based on the decoupling techniques in harmonic analysis developed in [B-D]",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-15T18:58:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "mean square",
      "perturbed cones",
      "zeta function",
      "critical line",
      "decoupling techniques"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150504161B"
    }
  }
}