{
  "id": "1401.0198",
  "version": "v3",
  "published": "2013-12-31T17:42:42.000Z",
  "updated": "2014-07-27T18:24:55.000Z",
  "title": "Whittaker-Fourier coefficients of cusp forms on $\\widetilde{Sp}_n$: reduction to a local statement",
  "authors": [
    "Erez Lapid",
    "Zhengyu Mao"
  ],
  "comment": "Minor additions since last version",
  "categories": [
    "math.NT"
  ],
  "abstract": "In a previous paper we formulated an analogue of the Ichino-Ikeda conjectures for Whittaker-Fourier coefficients of cusp forms on quasi-split groups, as well as the metaplectic group of arbitrary rank. In this paper we reduce the conjecture for the metaplectic group to a local conjectural identity. We motivate this conjecture by giving a heuristic argument for the case $\\widetilde{SL}_2$. In a subsequent paper we will prove the local identity in the $p$-adic case.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-27T18:24:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30",
      "11F70"
    ],
    "keywords": [
      "cusp forms",
      "whittaker-fourier coefficients",
      "local statement",
      "metaplectic group",
      "local conjectural identity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.0198L"
    }
  }
}