English

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

Number Theory 2026-01-07 v2

Abstract

We prove a joint value equidistribution statement for Hecke-Maa{\ss} cusp forms on the hyperbolic three-space H3\mathbb{H}^3. This supports the conjectural statistical independence of orthogonal cusp forms.

Keywords

Cite

@article{arxiv.2508.06331,
  title  = {Joint distribution of Hecke eigenforms on $\mathbb{H}^3$},
  author = {Didier Lesesvre and Luca Marchesini and Nicole Raulf},
  journal= {arXiv preprint arXiv:2508.06331},
  year   = {2026}
}

Comments

14 pages

R2 v1 2026-07-01T04:41:07.733Z