paper

Joint value distribution of Hecke--Maass forms

arXiv:2405.00996

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.

22 pages. Comments welcome

Joint value distribution of Hecke--Maass forms · wovepaper