{
  "id": "0706.2321",
  "version": "v1",
  "published": "2007-06-15T15:44:49.000Z",
  "updated": "2007-06-15T15:44:49.000Z",
  "title": "Lower bounds for moments of zeta prime rho",
  "authors": [
    "Micah B. Milinovich",
    "Nathan Ng"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Assuming the Riemann Hypothesis, we establish lower bounds for moments of the derivative of the Riemann zeta-function averaged over the non-trivial zeros of $\\zeta(s)$. Our proof is based upon a recent method of Rudnick and Soundararajan that provides analogous bounds for moments of $L$-functions at the central point, averaged over families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-15T15:44:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26"
    ],
    "keywords": [
      "zeta prime rho",
      "riemann hypothesis",
      "central point",
      "non-trivial zeros",
      "establish lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.2321M"
    }
  }
}