Joint value distribution of Hecke--Maass forms
Number Theory
2024-05-03 v1
Abstract
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--Maass cusp forms, which confirms statistical independence of orthogonal cusp forms.
Keywords
Cite
@article{arxiv.2405.00996,
title = {Joint value distribution of Hecke--Maass forms},
author = {Shenghao Hua and Bingrong Huang and Liangxun Li},
journal= {arXiv preprint arXiv:2405.00996},
year = {2024}
}
Comments
22 pages. Comments welcome