Joint distribution of Hecke eigenforms on $\mathbb{H}^3$

preprint2026arXivOpen access

We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space $\mathbb{H}^3$ . This supports the conjectural statistical independence of orthogonal cusp forms.

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Joint distribution of Hecke eigenforms on $\mathbb{H}^3$

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Joint distribution of Hecke eigenforms on H3\mathbb{H}^3H3

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Joint distribution of Hecke eigenforms on $\mathbb{H}^3$