{
  "id": "1412.0908",
  "version": "v1",
  "published": "2014-12-02T13:29:25.000Z",
  "updated": "2014-12-02T13:29:25.000Z",
  "title": "On some asymptotic formulas for curves in positive characteristic",
  "authors": [
    "Kubrak Dmitry"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove some general asymptotic formula for the values of $L$-function of a sequence of constructible $\\mathbb Q_l$-sheaves on curves over $\\mathbb F_q$ with some good asymptotic properties. We also give the asymptotic formula for the number of points on the stack $\\mathrm{Bun}_G$ for asymptotically exact sequence of curves and a split reductive group $G$. In the case of $\\mathrm{GL}_n$ we prove that the same formula holds if we take only semistable points in the account.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-02T13:29:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive characteristic",
      "general asymptotic formula",
      "formula holds",
      "asymptotic properties",
      "asymptotically exact sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.0908D"
    }
  }
}