{
  "id": "1312.5590",
  "version": "v1",
  "published": "2013-12-19T15:34:15.000Z",
  "updated": "2013-12-19T15:34:15.000Z",
  "title": "The structure of Siegel modular forms modulo p and U(p) congruences",
  "authors": [
    "Martin Raum",
    "Olav Richter"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We determine the ring structure of Siegel modular forms of degree g modulo a prime p, extending Nagaoka's result in the case of degree g=2. We characterize U(p) congruences of Jacobi forms and Siegel modular forms, and surprisingly find different behaviors of Siegel modular forms of even and odd degrees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-19T15:34:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F33",
      "11F46",
      "11F50"
    ],
    "keywords": [
      "siegel modular forms modulo",
      "congruences",
      "odd degrees",
      "jacobi forms",
      "extending nagaokas result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.5590R"
    }
  }
}