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Joint value distribution of Hecke--Maass forms (2405.00996v1)
Published 2 May 2024 in math.NT
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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