{
  "id": "0903.4007",
  "version": "v3",
  "published": "2009-03-24T03:35:32.000Z",
  "updated": "2010-06-14T23:46:46.000Z",
  "title": "Large gaps between consecutive zeros of the Riemann zeta-function",
  "authors": [
    "H. M. Bui"
  ],
  "comment": "21 pages",
  "journal": "J. Number Theory 131 (2011), 67-95",
  "categories": [
    "math.NT"
  ],
  "abstract": "Combining the mollifiers, we exhibit other choices of coefficients that improve the results on large gaps between the zeros of the Riemann zeta-function. Precisely, assuming the Generalized Riemann Hypothesis (GRH), we show that there exist infinitely many consecutive gaps greater than 3.033 times the average spacing.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-06-14T23:46:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta-function",
      "large gaps",
      "consecutive zeros",
      "generalized riemann hypothesis",
      "consecutive gaps greater"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.4007B"
    }
  }
}