{
  "id": "1302.0410",
  "version": "v5",
  "published": "2013-02-02T17:43:16.000Z",
  "updated": "2013-10-24T02:37:41.000Z",
  "title": "A Note on Fourier-Jacobi coefficients of Siegel modular forms",
  "authors": [
    "Sanoli Gun",
    "Narasimha Kumar"
  ],
  "comment": "to appear in Archiv der Mathematik",
  "journal": "Archiv der Mathematik 101 (2013), no. 6, 519-524",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let F be a Siegel cusp form of weight k and genus n>1 with Fourier-Jacobi coefficients f_m. In this article, we estimate the growth of the Petersson norms of f_m, where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen in [5].",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-10-24T02:37:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F46",
      "11F50",
      "11F30"
    ],
    "keywords": [
      "siegel modular forms",
      "fourier-jacobi coefficients",
      "siegel cusp form",
      "result sharpens",
      "petersson norms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.0410G"
    }
  }
}