39 citations · 227 across the 91 of their papers we have counts for
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One level density of low-lying zeros of quadratic Hecke -functions of Imaginary Quadratic Number Fields
Peng Gao, Liangyi Zhao
In this paper, we prove a one level density result for the low-lying zeros of quadratic Hecke -functions of imaginary quadratic number fields of class number one. As a corollary…
Moments and One level density of quadratic Hecke -functions of
Peng Gao, Liangyi Zhao
In this paper, we evaluate explicitly certain quadratic Hecke Gauss sums of . As applications, we study the moments of central v…
Mean values of some Hecke characters
Peng Gao, Liangyi Zhao
In this paper, we evaluate a smoothed character sum involving $\sum_{m}\sum_{n}\leg {m}{n}$, with quadratic, cubic or quartic Hecke characters $\leg {m}{n}$, and the two sums over…
One level density of low-lying zeros of quadratic and quartic Hecke -functions
Peng Gao, Liangyi Zhao
In this paper, we prove some one level density results for the low-lying zeros of famliies of quadratic and quartic Hecke -functions of the Gaussian field. As corollaries, we de…
Moments of Quadratic Hecke -functions of Imaginary Quadratic Number Fields
Peng Gao, Liangyi Zhao
In this paper, we study the moments of central values of Hecke -functions associated with quadratic characters in and with and es…
First Moment of Hecke -functions with quartic characters at the central point
Peng Gao, Liangyi Zhao
In this paper, we study the first moment of central values of Hecke -functions associated with quartic characters.