{
  "id": "1306.4104",
  "version": "v2",
  "published": "2013-06-18T08:42:11.000Z",
  "updated": "2016-02-19T13:54:14.000Z",
  "title": "Power moments of Kloosterman sums",
  "authors": [
    "Ke Gong",
    "Willem Veys",
    "Daqing Wan"
  ],
  "comment": "To appear in Journal of Number Theory, 25 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper we give an essential treatment for estimating arbitrary integral power moments of Kloosterman sums over the residue class ring. For prime moduli we derive explicit estimates, and for prime-power moduli we prove concrete formulas using computations with Igusa zeta functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-18T08:42:11.000Z",
      "comment": "30 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-02-19T13:54:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11L05",
      "11L07",
      "11S80"
    ],
    "keywords": [
      "kloosterman sums",
      "estimating arbitrary integral power moments",
      "igusa zeta functions",
      "essential treatment",
      "concrete formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.4104G"
    }
  }
}