{
  "id": "1304.6586",
  "version": "v3",
  "published": "2013-04-24T13:50:22.000Z",
  "updated": "2014-03-10T14:08:43.000Z",
  "title": "A Note on the Fourier coefficients of half-integral weight modular forms",
  "authors": [
    "Narasimha Kumar",
    "Soma Purkait"
  ],
  "comment": "To appear in Archiv der Mathematik",
  "doi": "10.1007/s00013-014-0622-8",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modular forms can be determined by checking the algebraicity of the first few of them. We also give a necessary and sufficient condition for a half-integral weight modular form to be in Kohnen's +-subspace by considering only finitely many terms.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-03-10T14:08:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11F37",
      "11F11"
    ],
    "keywords": [
      "half-integral weight modular form",
      "fourier coefficients",
      "algebraicity",
      "sufficient condition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6586K"
    }
  }
}