The aim is to prove a joint equidistribution for Hecke-Maaß cusp forms in hyperbolic three-space.
Analyzed the joint distribution of Hecke eigenforms in H3
Utilized concepts from number theory and geometry
Applied statistical methods to assess independence
Established a joint value equidistribution for Hecke–Maaß cusp forms
Provided evidence supporting statistical independence of these forms
Contributed to understanding of cusp forms on hyperbolic spaces
Abstract
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space . This supports the conjectural statistical independence of orthogonal cusp forms.