{
  "id": "math/0305339",
  "version": "v1",
  "published": "2003-05-23T21:21:00.000Z",
  "updated": "2003-05-23T21:21:00.000Z",
  "title": "On the second moment of $S(T)$ in the theory of the Riemann zeta function",
  "authors": [
    "Tsz Ho Chan"
  ],
  "comment": "12 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We assume the Riemann Hypothesis and an quantitative form of the Twin Prime Conjecture, and obtain an asymptotic formula for the second moment of $S(T)$ with better error term.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-23T21:21:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "riemann zeta function",
      "second moment",
      "twin prime conjecture",
      "better error term",
      "asymptotic formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5339C"
    }
  }
}