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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.NT2024
Joint cubic moment of Eisenstein series and Hecke-Maass cusp forms
Chengliang Guo
Let be a smooth compactly supported function on . In this paper, we are interested in the joint cubic moments of automorphic…