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Joint value distribution of Hecke--Maass forms

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arxiv 2405.00996 v1 pith:7QEGCJZM submitted 2024-05-02 math.NT

Shenghao Hua , Bingrong Huang , Liangxun Li This is my paper · ORCID
classification math.NT
keywords formscusphecke--maassjointconjecturedistributionconditionalconfirms
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The hyperbolic circle problem over Heegner points

    math.NT 2025-06 conditional novelty 8.0 of 10

    For Heegner points of different discriminants on the modular surface, the hyperbolic lattice point counting error improves from X^{2/3} to X^{2/3}/(log X)^{1/6}.

  2. Quadratic forms of modular forms

    math.NT 2025-07 conditional novelty 5.0 of 10

    Under GRH and analytic continuation hypotheses, the paper completes a decorrelation conjecture for products of Hecke eigenforms and proves new ℓ^p-norm bounds for quadratic forms in the Hecke basis.

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