2 citations · 2 across the 4 of their papers we have counts for
11 papers
Proof of the Strong Ivić Conjecture for the Cubic Moment of Maass-form -functions
Zhi Qi
In this paper, we prove the following asymptotic formula for the spectral cubic moment of central -values: $$ \sum_{t_f \leqslant T} \frac {2 L \big( \tfrac 1 2 , f \big)^3} {L(…
Moments of Central -values for Maass Forms over Imaginary Quadratic Fields
Sheng-Chi Liu, Zhi Qi
In this paper, over imaginary quadratic fields, we consider the family of -functions for an orthonormal basis of spherical Hecke--Maass forms with Archimedean par…
Beyond the Weyl barrier for exponential sums
Roman Holowinsky, Ritabrata Munshi, Zhi Qi
In this paper, we use the Bessel -method, along with new variants of the van der Corput method in two dimensions, to prove non-trivial bounds for exponential su…
Bias of Root Numbers for Modular Newforms of Cubic Level
Qinghua Pi, Zhi Qi
Let denote the set of modular newforms of cubic level , weight , and root number . For squarefree and , we use an analytic method…
Low-lying zeros of -functions for Maass forms over imaginary quadratic fields
Sheng-Chi Liu, Zhi Qi
We study the - or -level density of families of -functions for Hecke--Maass forms over an imaginary quadratic field . For test functions whose Fourier transform is supp…
Cancellation in additively twisted sums on with non-linear phase
Yongxiao Lin, Zhi Qi
Let be the Fourier coefficients of a holomorphic cusp modular form for . The aim of this article is to get non-trivial bound on non-linear…