Chen Guo

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math.NT2026

On the $L^{2}$ restriction norm of large level

Chengliang Guo

In this paper, we prove the mass equidistribution theorem restricted to vertical geodesic segments for holomorphic Hecke newforms of large square-free level. We utilize the effecti…

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.NT2026

Mixed fourth moments of automorphic forms and the shifted moments of $L$ -functions

Chengliang Guo

In this article, we study the mixed fourth moments of Hecke--Maass cusp forms and Eisenstein series with type $(2, 2)$ . Under the assumptions of the Generalized Riemann Hypothesis…

math.NT2025

Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms

Chengliang Guo

Let $I ¨ $ be a smooth compactly supported function on $X = S L (2, Z) \ H$ . In this paper, we are interested in the joint cubic moments of automorphic…

On the L2 restriction norm of large level

On the L6-norm of holomorphic Hecke eigenforms

Mixed fourth moments of automorphic forms and the shifted moments of L-functions

Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms

On the $L^{2}$ restriction norm of large level

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

Mixed fourth moments of automorphic forms and the shifted moments of $L$ -functions