{
  "id": "math/9609214",
  "version": "v1",
  "published": "1996-09-10T00:00:00.000Z",
  "updated": "1996-09-10T00:00:00.000Z",
  "title": "The distribution of the eigenvalues of Hecke operators",
  "authors": [
    "J. Brian Conrey",
    "William Duke",
    "David W. Farmer"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For each prime $p$, we determine the distribution of the $p^{th}$ Fourier coefficients of the Hecke eigenforms of large weight for the full modular group. As $p\\to\\infty$, this distribution tends to the Sato--Tate distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-09-10T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke operators",
      "eigenvalues",
      "full modular group",
      "sato-tate distribution",
      "fourier coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math......9214C"
    }
  }
}