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October 16, 2025Open Access

Joint distribution of Hecke eigenforms on H³

Key Points

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.

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. (Fri,) studied this question.

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

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