{
  "id": "1810.10424",
  "version": "v1",
  "published": "2018-10-24T14:36:32.000Z",
  "updated": "2018-10-24T14:36:32.000Z",
  "title": "Quadratic forms connected with Fourier coefficients of holomorphic and Maass cusp forms",
  "authors": [
    "Giamila Zaghloul"
  ],
  "comment": "10 pages",
  "journal": "Jornal of Number Theory 167 (2016) 118-127",
  "doi": "10.1016/j.jnt.2016.03.018",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this work we prove a prime number type theorem involving the normalised Fourier coefficients of holomorphic and Maass cusp forms, using the classical circle method. A key point is in a recent paper of Fouvry and Ganguly, based on Hoffstein-Ramakrishnan's result about the non-existence of the Siegel zeros for $GL(2)$ $L$-functions, which allows us to improve preceding estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-24T14:36:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30"
    ],
    "keywords": [
      "maass cusp forms",
      "quadratic forms",
      "holomorphic",
      "prime number type theorem",
      "siegel zeros"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}