{
  "id": "1707.00091",
  "version": "v1",
  "published": "2017-07-01T03:25:11.000Z",
  "updated": "2017-07-01T03:25:11.000Z",
  "title": "Moments and non-vanishing of Hecke $L$-functions with quadratic characters in $\\mathbb{Q}(i)$ at the central point",
  "authors": [
    "Peng Gao",
    "Liangyi Zhao"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we study the moments of central values of Hecke $L$-functions associated with quadratic characters in $\\mq(i)$, and establish quantitative non-vanishing result for the $L$-values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-01T03:25:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic characters",
      "central point",
      "central values",
      "establish quantitative non-vanishing result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}