{
  "id": "1809.10390",
  "version": "v1",
  "published": "2018-09-27T08:09:48.000Z",
  "updated": "2018-09-27T08:09:48.000Z",
  "title": "On the non-vanishing of L-functions associated to cusp forms of half-integral weight",
  "authors": [
    "Sonja Žunar"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a strengthening of Mui\\'c's integral non-vanishing criterion for Poincar\\'e series on unimodular locally compact Hausdorff groups and use it to prove a result on non-vanishing of L-functions associated to cusp forms of half-integral weight.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-27T08:09:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F37"
    ],
    "keywords": [
      "half-integral weight",
      "cusp forms",
      "l-functions",
      "unimodular locally compact hausdorff groups",
      "muics integral non-vanishing criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}