The density hypothesis for horizontal families of lattices
Number Theory
2024-11-18 v1 Spectral Theory
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.
Keywords
Cite
@article{arxiv.2007.13961,
title = {The density hypothesis for horizontal families of lattices},
author = {Mikołaj Frączyk and Gergely Harcos and Péter Maga and Djordje Milićević},
journal= {arXiv preprint arXiv:2007.13961},
year = {2024}
}
Comments
34 pages, LaTeX2e