Joint value distribution of Hecke--Maass forms

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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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Hua et al. (Thu,) studied this question.

synapsesocial.com/papers/68e6bd41b6db64358763da98 https://doi.org/https://doi.org/10.48550/arxiv.2405.00996

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