{
  "id": "0910.4312",
  "version": "v2",
  "published": "2009-10-22T12:33:34.000Z",
  "updated": "2010-02-02T05:34:56.000Z",
  "title": "Note on Hermitian Jacobi Forms",
  "authors": [
    "Soumya Das"
  ],
  "comment": "24 pages; title changed, abstract changed, some proofs expanded and new results added",
  "categories": [
    "math.NT"
  ],
  "abstract": "We compare the spaces of Hermitian Jacobi forms (HJF) of weight $k$ and indices $1,2$ with classical Jacobi forms (JF) of weight $k$ and indices $1,2,4$. Using the embedding into JF, upper bounds for the order of vanishing of HJF at the origin is obtained. We compute the rank of HJF as a module over elliptic modular forms and prove the algebraic independence of the generators in case of index 1. Some related questions are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-02T05:34:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F50"
    ],
    "keywords": [
      "hermitian jacobi forms",
      "elliptic modular forms",
      "classical jacobi forms",
      "upper bounds",
      "algebraic independence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4312D"
    }
  }
}