1 citations · 1 across the 3 of their papers we have counts for
5 papers
Universal murmuration and Hecke augmentation
Shenghao Hua, Chung Pang Mok
Prime coefficients of elliptic curves exhibit murmurations, statistical patterns that support the prediction of arithmetic labels. We conjecture that root number weighted averages…
Decorrelation of Bessel periods for symmetric cubes of
Shenghao Hua, Xinchen Miao
We demonstrate that for symmetric cubes of algebraic regular Hecke eigenforms on , a decorrelation phenomenon occurs for global Bessel periods of $\mathrm{SO}(5)\ti…
Selberg orthogonality for half-integral weight modular forms
Shenghao Hua
The Keating--Snaith conjecture for orthogonal families may be viewed as analogous to a Gaussian distribution with a negative mean, and the possibility that mixed moments resemble a…
-derivatives of the fixed elliptic curve over rank-one imaginary quadratic fields
Shenghao Hua
There is a one-sided central limit theorem for the logarithms of -derivatives of a fixed rational non-CM elliptic curve over imaginary quadratic fields of rank one, analogou…
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…