Joint distribution of Hecke eigenforms on H³ | Synapse
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.