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One level density of low-lying zeros of quadratic Hecke $L$-functions of Imaginary Quadratic Number Fields

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  • معلومة اضافية
    • بيانات النشر:
      Cambridge University Press (CUP)
    • الموضوع:
      2022
    • Collection:
      UNSW Sydney (The University of New South Wales): UNSWorks
    • نبذة مختصرة :
      In this paper, we prove a one level density result for the low-lying zeros of quadratic Hecke $L$-functions of imaginary quadratic number fields of class number one. As a corollary, we deduce, essentially, that at least $(19-\cot (1/4))/16 = 94.27. \%$ of the $L$-functions under consideration do not vanish at $1/2$.
    • Relation:
      http://hdl.handle.net/1959.4/unsworks_69241; https://doi.org/10.1017/S1446788720000397
    • الرقم المعرف:
      10.1017/S1446788720000397
    • Rights:
      metadata only access ; http://purl.org/coar/access_right/c_14cb ; CC-BY ; https://creativecommons.org/licenses/by/4.0/
    • الرقم المعرف:
      edsbas.242FF4CA