{
  "id": "1108.4774",
  "version": "v5",
  "published": "2011-08-24T07:44:45.000Z",
  "updated": "2012-02-09T05:57:40.000Z",
  "title": "Trace formulas of the Hecke operator on the spaces of newforms",
  "authors": [
    "Suda Tomohiko"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, for a square-free integer l>1, a even positive integer k and a positive integer N, we give a trace formula of the Hecke operator T(l) on the space S_k^0(N) of all newforms of weight k and level \\Gamma_0(N). Moreover, we give a decomposition S_k^0(N)=\\oplus_{i|N}S_k^0(N;i) and also give a trace formula of T(l) on S_k^0(N;i).",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-02-09T05:57:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "trace formula",
      "hecke operator",
      "positive integer",
      "square-free integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.4774T"
    }
  }
}