{
  "id": "1008.2288",
  "version": "v1",
  "published": "2010-08-13T10:32:14.000Z",
  "updated": "2010-08-13T10:32:14.000Z",
  "title": "A note on Fourier coefficients of Poincaré series",
  "authors": [
    "Emmanuel Kowalski",
    "Abhishek Saha",
    "Jacob Tsimerman"
  ],
  "comment": "10 pages",
  "doi": "10.1112/S0025579310001804",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a short and \"soft\" proof of the asymptotic orthogonality of Fourier coefficients of Poincar\\'e series for classical modular forms as well as for Siegel cusp forms, in a qualitative form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-13T10:32:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F10",
      "11F30",
      "11F46"
    ],
    "keywords": [
      "fourier coefficients",
      "siegel cusp forms",
      "poincare series",
      "asymptotic orthogonality",
      "classical modular forms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2288K"
    }
  }
}