The density hypothesis for horizontal families of lattices

Fraczyk, Mikolaj and Harcos, Gergely and Maga, Péter and Milićević, Djordje (2024) The density hypothesis for horizontal families of lattices. AMERICAN JOURNAL OF MATHEMATICS, 146 (1). pp. 107-160. ISSN 0002-9327

Preview

Text 2007.13961v1.pdf Available under License Creative Commons Attribution. Download (786kB) | Preview

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.

Actions (login required)

Edit Item