{
  "id": "0802.2139",
  "version": "v4",
  "published": "2008-02-15T05:01:18.000Z",
  "updated": "2008-08-10T09:53:56.000Z",
  "title": "Jacobi forms of degree one",
  "authors": [
    "Shunsuke Yamana"
  ],
  "comment": "49 pages of text",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that a certain subspace of space of elliptic cusp forms is isomorphic as a Hecke module to a certain subspace of space of Jacobi cusp forms of degree one with matrix index by constructing an explicit lifting. This is a partial generalization of the work of Skoruppa and Zagier. This lifting is also related with the Ikeda lifting.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2008-08-10T09:53:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F50"
    ],
    "keywords": [
      "jacobi forms",
      "elliptic cusp forms",
      "jacobi cusp forms",
      "hecke module",
      "partial generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.2139Y"
    }
  }
}