{
  "id": "1708.00564",
  "version": "v1",
  "published": "2017-08-02T00:49:28.000Z",
  "updated": "2017-08-02T00:49:28.000Z",
  "title": "On the mod $p$ kernel of the theta operator and Eisenstein series",
  "authors": [
    "Shoyu Nagaoka",
    "Sho Takemori"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Siegel modular forms in the space of the mod $p$ kernel of the theta operator are constructed by the Eisenstein series in some odd-degree cases. Additionally, a similar result in the case of Hermitian modular forms is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-02T00:49:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "theta operator",
      "eisenstein series",
      "hermitian modular forms",
      "siegel modular forms",
      "similar result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}