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This is a Quantitative Study study.

October 16, 2025Open Access

Joint distribution of Hecke eigenforms on H³

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The joint value equidistribution statement shows potential statistical independence among Hecke-Maaß cusp forms.
This result contributes to the understanding of how Hecke eigenforms behave in the hyperbolic three-space.
Exploring Hecke-Maaß cusp forms reveals deeper connections in number theory and geometry.
The findings may provide insight into broader conjectures in the domain of modular forms.

Implication

Joint value equidistribution supports statistical independence of Hecke-Maaß cusp forms in $ ext{H}^3$.

Abstract

We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space H³. This supports the conjectural statistical independence of orthogonal cusp forms.

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Cite This Study

Lesesvre et al. (2025) studied this question.

synapsesocial.com/papers/68f12bfb2107091eab27a466 https://doi.org/10.48550/arxiv.2508.06331

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Implication

Joint value equidistribution supports statistical independence of Hecke-Maaß cusp forms in $ ext{H}^3$.

Abstract

We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space H³. This supports the conjectural statistical independence of orthogonal cusp forms.

Joint distribution of Hecke eigenforms on H³

Key Points

Implication

Abstract

Discussion

Cite This Study

Joint distribution of Hecke eigenforms on H³

Key Points

Implication

Abstract

Discussion

Cite This Study

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