{
  "id": "0806.0786",
  "version": "v1",
  "published": "2008-06-04T14:50:26.000Z",
  "updated": "2008-06-04T14:50:26.000Z",
  "title": "Upper bounds for the moments of zeta prime rho",
  "authors": [
    "Micah B. Milinovich"
  ],
  "comment": "submitted for publication",
  "categories": [
    "math.NT"
  ],
  "abstract": "Assuming the Riemann Hypothesis, we obtain an upper bound for the 2k-th moment of the derivative of the Riemann zeta-function averaged over the non-trivial zeros of $\\zeta(s)$ for every positive integer k. Our bounds are nearly as sharp as the conjectured asymptotic formulae for these moments. The proof is based upon a recent method of K. Soundararajan that provides analogous bounds for continuous moments of the Riemann zeta-function as well as for moments L-functions at the central point, averaged over families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-04T14:50:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26"
    ],
    "keywords": [
      "zeta prime rho",
      "upper bound",
      "riemann zeta-function",
      "central point",
      "non-trivial zeros"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.0786M"
    }
  }
}