{
  "id": "1112.0346",
  "version": "v1",
  "published": "2011-12-01T22:26:20.000Z",
  "updated": "2011-12-01T22:26:20.000Z",
  "title": "Statistics on Riemann zeros",
  "authors": [
    "Ricardo Perez Marco"
  ],
  "comment": "47 pages, 75 figures",
  "categories": [
    "math.NT",
    "math.CV"
  ],
  "abstract": "We numerically study the statistical properties of differences of zeros of Riemann zeta function and L-functions predicted by the theory of the e\\~ne product. In particular, this provides a simple algorithm that computes any non-real Riemann zeros from very large ones (\"self-replicating property of Riemann zeros\"). Also the algorithm computes the full sequence of non-real zeros of Riemann zeta function from the sequence of non-real zeros of any Dirichlet L-function (\"zeros of L-functions know about Riemann zeros\"). We also check that the first error to the convergence to the classical GUE statistic near 0 is a Fresnel distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-01T22:26:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26"
    ],
    "keywords": [
      "riemann zeta function",
      "non-real zeros",
      "non-real riemann zeros",
      "simple algorithm",
      "full sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.0346P"
    }
  }
}