3 papers
math.NT2026
Mixed fourth moments of automorphic forms and the shifted moments of -functions
Chengliang Guo
In this article, we study the mixed fourth moments of Hecke--Maass cusp forms and Eisenstein series with type . Under the assumptions of the Generalized Riemann Hypothesis…
math.AP2025
A New proof of Liouville type theorems for a class of semilinear elliptic equations
Chen Guo, Zhengce Zhang
We study certain typical semilinear elliptic equations in Euclidean space $\bR^{n}$ or on a closed manifold with nonnegative Ricci curvature. Our proof is based on a crucial in…
math.AP2025
Gradient Estimates for the doubly nonlinear diffusion equation on Complete Riemannian Manifolds
Chen Guo, Zhengce Zhang
We study the elliptic version of doubly nonlinear diffusion equations on a complete Riemannian manifold . Through the combination of a special nonlinear transformation and t…