Joint value distribution of Hecke--Maass forms

Fuente: arXiv
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Main Authors: Hua, Shenghao, Huang, Bingrong, Li, Liangxun
Format: Preprint
Published: 2024
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author Hua, Shenghao
Huang, Bingrong
Li, Liangxun
author_facet Hua, Shenghao
Huang, Bingrong
Li, Liangxun
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_00996
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Joint value distribution of Hecke--Maass forms
Hua, Shenghao
Huang, Bingrong
Li, Liangxun
Number Theory
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.
title Joint value distribution of Hecke--Maass forms
topic Number Theory
url https://arxiv.org/abs/2405.00996