Liangxun Li

collaborators

2 papers

math.NT2026

On the $L^{6}$ -norm of holomorphic Hecke eigenforms

Chengliang Guo, Liangxun Li

Let $H_{k}$ be an $L^{2}$ -normalized Hecke basis for the space of all holomorphic cusp forms of weight $k$ . We show that $max_{f \in H_{k}} ∥ F ∥_{6} ≫ (lo g lo g k)^{\frac{1}{2}}$ w…

math.NT2025

Quantum variance for cubic moment of Hecke--Maass cusp forms and Eisenstein series

Bingrong Huang, Liangxun Li

In this paper, we give the upper bounds on the variance for cubic moment of Hecke--Maass cusp forms and Eisenstein series respectively. For the cusp form case, the bound comes from…

On the L6-norm of holomorphic Hecke eigenforms

Quantum variance for cubic moment of Hecke--Maass cusp forms and Eisenstein series

On the $L^{6}$ -norm of holomorphic Hecke eigenforms