2 citations · 3 across the 6 of their papers we have counts for
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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…
Mixed moments of Hecke eigenforms and -functions
Bingrong Huang
In this paper, we establish estimates for the expectation and variance of the mixed -moment of two Hecke eigenforms of distinct weights. Our results yield applications to tr…
On the supremum of random cusp forms
Bingrong Huang, Stephen Lester, Igor Wigman +1
A random ensemble of cusp forms for the full modular group is introduced. For a weight- cusp form, restricted to a compact subdomain of the modular surface, the true order of ma…
Joint distribution of Hecke eigenforms
Bingrong Huang
In this paper, we formulate conjectures on the joint distribution of several Hecke eigenforms. We prove an asymptotic formula of the joint mass of two Hecke eigenforms under the ge…
Joint value distribution of Hecke--Maass forms
Shenghao Hua, Bingrong Huang, Liangxun Li
In this paper, we formulate a conjecture on joint distribution of Hecke--Maass cusp forms. To support our conjecture, we prove two conditional results on joint moments of two Hecke…
Mixed moments of and symmetric square -functions
Bingrong Huang, Liangxun Li
In this paper, we prove asymptotic formulas of mixed moments of and its symmetric square -functions for both Hecke--Maass cusp forms and holomorphic Hecke eigenforms…