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arXiv · 2405.00996

Joint value distribution of Hecke--Maass forms

Shenghao Hua·Bingrong Huang·Liangxun Li
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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.

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Shenghao Hua, Bingrong Huang, Liangxun Li. 2024-05-02. Joint value distribution of Hecke--Maass forms. https://arxiv.org/abs/2405.00996

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