The density hypothesis for horizontal families of lattices
arXiv:2007.13961 · doi:10.1353/ajm.2024.a917540
Abstract
We prove the density hypothesis for wide families of arithmetic orbifolds arising from all division quaternion algebras over all number fields of bounded degree. Our power-saving bounds on the multiplicities of non-tempered representations are uniform in the volume and spectral aspects.
34 pages, LaTeX2e