{
  "id": "math/0305341",
  "version": "v1",
  "published": "2003-05-23T21:33:46.000Z",
  "updated": "2003-05-23T21:33:46.000Z",
  "title": "Distribution of the zeros of the Riemann zeta function in longer intervals",
  "authors": [
    "Tsz Ho Chan"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we extend the result of Fujii on the second moment of $S(t+h) - S(t)$ to longer range of $h$ under the Riemann Hypothesis and an quantitative form of the Twin Prime Conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-23T21:33:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "riemann zeta function",
      "longer intervals",
      "distribution",
      "twin prime conjecture",
      "second moment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5341C"
    }
  }
}