The Density Hypothesis for Horizontal Families of Lattices
Authors: Fraczyk, Mikolaj; Harcos, Gergely; Maga, Peter; Milićević, Djordje
Source: American Journal of Mathematics, Volume: 146, Issue: 1, DOI: 10.1353/ajm.2024.a917540, February 2024
Publication Type: Journal Article
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.
Mathematics
