{
  "id": "math/0411501",
  "version": "v1",
  "published": "2004-11-22T23:09:42.000Z",
  "updated": "2004-11-22T23:09:42.000Z",
  "title": "Lower order terms of the second moment of $S(t)$",
  "authors": [
    "Tsz Ho Chan"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we derive an asymptotic formula for the second moment of $S(t)$ which includes the lower order terms using a prediction from the ratios conjecture of Conrey, Farmer and Zirnbauer. The formula matches very well with actual values of the second moment.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-22T23:09:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "lower order terms",
      "second moment",
      "actual values",
      "formula matches",
      "asymptotic formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11501C"
    }
  }
}