{
  "id": "0907.3723",
  "version": "v1",
  "published": "2009-07-21T18:50:50.000Z",
  "updated": "2009-07-21T18:50:50.000Z",
  "title": "On the Zeta Function of a Family of Quintics",
  "authors": [
    "Philippe Goutet"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we give a proof of the link between the zeta function of two families of hypergeometric curves and the zeta function of a family of quintics that was observed numerically by Candelas, de la Ossa, and Rodriguez Villegas. The method we use is based on formulas of Koblitz and various Gauss sums identities; it does not give any geometric information on the link.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-21T18:50:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G10",
      "11G25",
      "14G15",
      "11T24"
    ],
    "keywords": [
      "zeta function",
      "gauss sums identities",
      "rodriguez villegas",
      "hypergeometric curves",
      "geometric information"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.3723G"
    }
  }
}