{
  "id": "1006.4898",
  "version": "v2",
  "published": "2010-06-25T02:03:46.000Z",
  "updated": "2013-01-31T02:53:58.000Z",
  "title": "p-adic Differential Operators on Automorphic Forms on Unitary Groups",
  "authors": [
    "Ellen E. Eischen"
  ],
  "journal": "Ann. Inst. Fourier 62, No. 1, 177-243 (2012)",
  "doi": "10.5802/aif.2704",
  "categories": [
    "math.NT"
  ],
  "abstract": "The goal of this paper is to study certain p-adic differential operators on automorphic forms on U(n,n). These operators are a generalization to the higher-dimensional, vector-valued situation of the p-adic differential operators constructed for Hilbert modular forms by N. Katz. They are a generalization to the p-adic case of the C^{\\infty}-differential operators first studied by H. Maass and later studied extensively by M. Harris and G. Shimura. The operators should be useful in the construction of certain p-adic L-functions attached to p-adic families of automorphic forms on the unitary groups U(n) x U(n).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-31T02:53:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphic forms",
      "unitary groups",
      "hilbert modular forms",
      "p-adic families",
      "generalization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.4898E"
    }
  }
}