{
  "id": "1912.05041",
  "version": "v1",
  "published": "2019-12-10T23:14:02.000Z",
  "updated": "2019-12-10T23:14:02.000Z",
  "title": "Lower order terms of the one level density of a family of quadratic Hecke $L$-functions",
  "authors": [
    "Peng Gao",
    "Liangyi Zhao"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we study lower order terms of the $1$-level density of low-lying zeros of quadratic Hecke L-functions in the Gaussian field. Assuming the Generalized Riemann Hypothesis, our result is valid for even test functions whose Fourier transforms are supported in $(-2, 2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-10T23:14:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "level density",
      "study lower order terms",
      "quadratic hecke l-functions",
      "gaussian field",
      "generalized riemann hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}