{
  "id": "2103.07835",
  "version": "v1",
  "published": "2021-03-14T03:09:07.000Z",
  "updated": "2021-03-14T03:09:07.000Z",
  "title": "Hecke-Maass cusp forms on PGL_n of large levels with non-vanishing L-values",
  "authors": [
    "Masao Tsuzuki"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce a new trace formula of Kuznetsov type involving the central standard L-values and the Whittaker periods of cuspidal automorphic representations of PGL_n(Q) which are spherical at the archimedean place. As an application, we show a simultaneous non-vanishing of standard L-values at n-1 points on the critical strip for infinitely many Hecke-Maass cuspidal newforms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-14T03:09:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke-maass cusp forms",
      "large levels",
      "non-vanishing l-values",
      "central standard l-values",
      "cuspidal automorphic representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}