{
  "id": "2212.00917",
  "version": "v1",
  "published": "2022-12-02T00:33:43.000Z",
  "updated": "2022-12-02T00:33:43.000Z",
  "title": "On $p$-divisibility of Fourier coefficients of Siegel modular forms",
  "authors": [
    "Shoyu Nagaoka"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We describe the $p$-divisibility transposition for the Fourier coefficients of Siegel modular forms. This provides a supplement to the result by Wilton for $p$-divisibility satisfied by the Ramanujan $\\tau$-function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-02T00:33:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F33",
      "11F46"
    ],
    "keywords": [
      "siegel modular forms",
      "fourier coefficients",
      "divisibility transposition",
      "supplement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}