{
  "id": "1101.3197",
  "version": "v3",
  "published": "2011-01-17T12:45:20.000Z",
  "updated": "2011-06-16T13:42:38.000Z",
  "title": "Large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function",
  "authors": [
    "Johan Bredberg"
  ],
  "comment": "Minor typos fixed. Also, now we first discuss our goal and then examine some needed integral-results. The actual maths is essentially unchanged",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that for any sufficiently large $T,$ there exists a subinterval of $[T,2T]$ of length at least $2.766 \\times \\frac{2\\pi}{\\log{T}},$ in which the function $t \\mapsto \\zeta(1/2 + it)$ has no zeros.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-06-16T13:42:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta-function",
      "large gaps",
      "consecutive zeros",
      "critical line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.3197B"
    }
  }
}