{
  "id": "1302.0352",
  "version": "v1",
  "published": "2013-02-02T08:18:09.000Z",
  "updated": "2013-02-02T08:18:09.000Z",
  "title": "Upper and lower bounds for the function S(t) on the short intervals",
  "authors": [
    "Maxim A. Korolev"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove under RH the existence of a very large positive and negative values of the argument of the Riemann zeta function on a very short intervals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-02T08:18:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26"
    ],
    "keywords": [
      "short intervals",
      "lower bounds",
      "riemann zeta function",
      "negative values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.0352K"
    }
  }
}