{
  "id": "math/0107084",
  "version": "v1",
  "published": "2001-07-11T19:08:49.000Z",
  "updated": "2001-07-11T19:08:49.000Z",
  "title": "On the trace of Hecke operators for Maass forms for congruence subgroups II",
  "authors": [
    "Xian-Jin Li"
  ],
  "comment": "32 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let E_lambda be the Hilbert space spanned by the eigenfunctions of the non-Euclidean Laplacian associated with a positive discrete eigenvalue lambda. In this paper, the trace of Hecke operators T_n acting on the space E_lambda is computed for Hecke congruence subgroups Gamma_0(N) of non-square free level. This extends the computation of Conrey-Li [2], where only Hecke congruence subgroups Gamma_0(N) of square free level N were considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-11T19:08:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F37",
      "11F72",
      "42A16"
    ],
    "keywords": [
      "hecke operators",
      "maass forms",
      "hecke congruence subgroups",
      "non-square free level",
      "positive discrete eigenvalue lambda"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......7084L"
    }
  }
}