{
  "id": "0906.5252",
  "version": "v3",
  "published": "2009-06-29T12:29:59.000Z",
  "updated": "2011-05-23T15:56:59.000Z",
  "title": "On the Zeta Functions of an optimal tower of function fields over $\\FF_4$",
  "authors": [
    "Alexey Zaytsev",
    "Gary McGuire"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper we derive a recursion for the zeta function of each function field in the second Garcia-Stichtenoth tower when $q=2$. We obtain our recursion by applying a theorem of Kani and Rosen that gives information about the decomposition of the Jacobians. This enables us to compute the zeta functions explicitly of the first six function fields.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-05-23T15:56:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "function field",
      "optimal tower",
      "second garcia-stichtenoth tower",
      "information",
      "decomposition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.5252Z"
    }
  }
}