{
  "id": "2206.12302",
  "version": "v1",
  "published": "2022-06-24T13:54:28.000Z",
  "updated": "2022-06-24T13:54:28.000Z",
  "title": "The quantitative distribution of Hecke eigenvalues of Maass forms",
  "authors": [
    "Moni Kumari",
    "Jyoti Sengupta"
  ],
  "journal": "Res. Number Theory, 2022",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $f$ be a normalized Hecke-Maass cusp form of weight zero for the group $SL_2(\\mathbb Z)$. This article presents several quantitative results about the distribution of Hecke eigenvalues of $f$. Applications to the $\\Omega_{\\pm}$-results for the Hecke eigenvalues of $f$ and its symmetric square sym$^2(f)$ are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-24T13:54:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke eigenvalues",
      "maass forms",
      "quantitative distribution",
      "normalized hecke-maass cusp form",
      "symmetric square sym"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}