18 citations · 36 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
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…
Low-lying zeros for L-functions associated to Hilbert modular forms of large level
Sheng-Chi Liu, Steven J. Miller
We determine the 1-level density of families of Hilbert modular forms, and show the answer agrees only with orthogonal random matrix ensembles.
The restriction norm of a Maass form on
Xiaoqing Li, Sheng-Chi Liu, Matthew P. Young
We discuss upper and lower bounds for the restriction norm of a Maass form on $\SL{n+1}{Z}$.
Simple zeros of primitive Dirichlet -functions and the asymptotic large sieve
Vorrapan Chandee, Yoonbok Lee, Sheng-chi Liu +1
Assuming the Generalized Riemann Hypothesis (GRH), we show using the asymptotic large sieve that 91% of the zeros of primitive Dirichlet -functions are simple. This improves on…
Subconvexity and equidistribution of Heegner points in the level aspect
Sheng-Chi Liu, Riad Masri, Matthew P. Young
Let q be a prime and -D < -4 be an odd fundamental discriminant such that q splits in Q(\sqrt{-D}). For f a weight zero Hecke-Maass newform of level q and h the weight one theta se…