Peng Gao, Liangyi Zhao
Published 2019-12-10Version 1
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 $(-2, 2)$.
On relations equivalent to the generalized Riemann hypothesis for the Selberg class
The Generalized Riemann Hypothesis from zeros of the zeta function
Moments and Non-vanishing of central values of Quadratic Hecke $L$-functions in the Gaussian Field
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