{
  "id": "1106.5110",
  "version": "v4",
  "published": "2011-06-25T07:31:03.000Z",
  "updated": "2012-01-21T08:46:11.000Z",
  "title": "Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients",
  "authors": [
    "Abhishek Saha"
  ],
  "comment": "16 pages. To appear in Math. Ann",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that a Siegel cusp form of degree 2 for the full modular group is determined by its set of Fourier coefficients a(S) with 4 det(S) ranging over odd squarefree integers. As a key step to our result, we also prove that a classical cusp form of half-integral weight and level 4N, with N odd and squarefree, is determined by its set of Fourier coefficients a(d) with d ranging over odd squarefree integers, a result that was previously known only for Hecke eigenforms.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-01-21T08:46:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11F37",
      "11F46",
      "11F50"
    ],
    "keywords": [
      "siegel cusp form",
      "fundamental fourier coefficients",
      "odd squarefree integers",
      "full modular group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5110S"
    }
  }
}