{
  "id": "2407.19076",
  "version": "v1",
  "published": "2024-07-26T20:45:34.000Z",
  "updated": "2024-07-26T20:45:34.000Z",
  "title": "On the average size of the eigenvalues of the Hecke operators",
  "authors": [
    "William Cason",
    "Akash Jim",
    "Charlie Medlock",
    "Erick Ross",
    "Hui Xue"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We determine the average size of the eigenvalues of the Hecke operators. To measure average size, we use the quadratic mean. We consider both the vertical and the horizontal perspective.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-26T20:45:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F25",
      "11F72",
      "11F11"
    ],
    "keywords": [
      "hecke operators",
      "eigenvalues",
      "quadratic mean"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}