{
  "id": "1106.1160",
  "version": "v1",
  "published": "2011-06-06T19:32:41.000Z",
  "updated": "2011-06-06T19:32:41.000Z",
  "title": "A note on a conjecture of Gonek",
  "authors": [
    "Micah B. Milinovich",
    "Nathan Ng"
  ],
  "comment": "10 pages, to appear in Funct. Approx. Comment. Math",
  "categories": [
    "math.NT"
  ],
  "abstract": "We derive a lower bound for a second moment of the reciprocal of the derivative of the Riemann zeta-function averaged over the zeros of the zeta-function that is half the size of the conjectured value. Our result is conditional upon the assumption of the Riemann Hypothesis and the conjecture that the zeros of the zeta-function are simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-06T19:32:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26"
    ],
    "keywords": [
      "lower bound",
      "second moment",
      "riemann hypothesis",
      "conjectured value",
      "conditional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.1160M"
    }
  }
}