{
  "id": "1103.0821",
  "version": "v1",
  "published": "2011-03-04T04:50:06.000Z",
  "updated": "2011-03-04T04:50:06.000Z",
  "title": "Bounds for Siegel Modular Forms of genus 2 modulo $p$",
  "authors": [
    "Dohoon Choi",
    "YoungJu Choie",
    "Toshiyuki Kikuta"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Sturm obtained the bounds for the number of the first Fourier coefficients of elliptic modular form $f$ to determine vanishing of $f$ modulo a prime $p$. In this paper, we study analogues of Sturm's bound for Siegel modular forms of genus 2. We show the resulting bound is sharp. As an application, we study congruences involving Atkin's $U(p)$-operator for the Fourier coefficients of Siegel mdoular forms of genus 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-04T04:50:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F46",
      "11F33"
    ],
    "keywords": [
      "siegel modular forms",
      "elliptic modular form",
      "siegel mdoular forms",
      "first fourier coefficients",
      "study congruences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.0821C"
    }
  }
}