{
  "id": "math/0207236",
  "version": "v2",
  "published": "2002-07-25T16:43:38.000Z",
  "updated": "2002-12-04T01:28:36.000Z",
  "title": "Random matrix theory and discrete moments of the Riemann zeta function",
  "authors": [
    "C. P. Hughes"
  ],
  "comment": "Replacement corrects slight typos. To be published in J. Phys. A, special issue in Random Matrix Theory",
  "doi": "10.1088/0305-4470/36/12/303",
  "categories": [
    "math.NT"
  ],
  "abstract": "We calculate the discrete moments of the characteristic polynomial of a random unitary matrix, evaluated a small distance away from an eigenangle. Such results allow us to make conjectures about similar moments for the Riemann zeta function, and provide a uniform approach to understanding moments of the zeta function and its derivative.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-12-04T01:28:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta function",
      "random matrix theory",
      "discrete moments",
      "random unitary matrix",
      "small distance away"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2003,
      "month": "Mar",
      "volume": 36,
      "number": 12,
      "pages": 2907
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003JPhA...36.2907H"
    }
  }
}