Zhi Qi

activity

20142026

most citedOn the Fourier Transform of Bessel Functions over Complex Numbers---I: the Spherical Case

7 citations · 29 across the 30 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 1 cited

Low-lying zeros of $L$ -functions for Maass forms over imaginary quadratic fields

Sheng-Chi Liu, Zhi Qi

We study the $1$ - or $2$ -level density of families of $L$ -functions for Hecke--Maass forms over an imaginary quadratic field $F$ . For test functions whose Fourier transform is supp…

math.NT2019

Cancellation in additively twisted sums on $GL (2)$ with non-linear phase

Yongxiao Lin, Zhi Qi

Let $λ_{g} (n)$ be the Fourier coefficients of a holomorphic cusp modular form $g$ for $SL_{2} (Z)$ . The aim of this article is to get non-trivial bound on non-linear…

math.NT2019

A Bessel delta-method and exponential sums for GL(2)

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

In this paper, we introduce a simple Bessel $δ$ -method to the theory of exponential sums for $G L_{2}$ . Some results of Jutila on exponential sums are generalized in a less techni…

Low-lying zeros of L-functions for Maass forms over imaginary quadratic fields

Cancellation in additively twisted sums on GL(2) with non-linear phase

A Bessel delta-method and exponential sums for GL(2)

Low-lying zeros of $L$ -functions for Maass forms over imaginary quadratic fields

Cancellation in additively twisted sums on $GL (2)$ with non-linear phase