{
  "id": "math/0403084",
  "version": "v2",
  "published": "2004-03-03T21:17:38.000Z",
  "updated": "2005-03-21T18:44:24.000Z",
  "title": "The distribution of class groups of function fields",
  "authors": [
    "Jeff Achter"
  ],
  "comment": "To appear, JPAA",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using equidistribution results of Katz and a computation in finite symplectic groups, we give an explicit asymptotic formula for the proportion of curves C over a finite field for which the l-torsion of Jac(C) is isomorphic to a given abelian l-group. In doing so, we prove a conjecture of Friedman and Washington",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-21T18:44:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "class groups",
      "function fields",
      "finite symplectic groups",
      "explicit asymptotic formula",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3084A"
    }
  }
}