Shenhui Liu

collaborators

3 papers

math.NT2017

Mollification and non-vanishing of automorphic $L$ -functions on GL(3)

Bingrong Huang, Shenhui Liu, Zhao Xu

We prove a non-vanishing result for central values of $L$ -functions on GL(3), by using the mollification method and the Kuznetsov trace formula.

math.NT2017

Nonvanishing of central $L$ -values of Maass forms

Shenhui Liu

With the method of moments and the mollification method, we study the central $L$ -values of GL(2) Maass forms of weight $0$ and level $1$ and establish a positive-proportional nonv…

math.NT2016

The first moment of central values of symmetric square $L$ -functions in the weight aspect

Shenhui Liu

In this note we investigate the behavior at the central point of the symmetric square $L$ -functions, the most frequently used $GL (3)$ $L$ -functions. We establish an asymptotic…

Mollification and non-vanishing of automorphic L-functions on GL(3)

Nonvanishing of central L-values of Maass forms

The first moment of central values of symmetric square L-functions in the weight aspect

Mollification and non-vanishing of automorphic $L$ -functions on GL(3)

Nonvanishing of central $L$ -values of Maass forms

The first moment of central values of symmetric square $L$ -functions in the weight aspect