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arXiv · 2007.13961

The density hypothesis for horizontal families of lattices

Mikołaj Frączyk·Gergely Harcos·Péter Maga·Djordje Milićević
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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.

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Mikołaj Frączyk, Gergely Harcos, Péter Maga, Djordje Milićević. 2020-07-28. The density hypothesis for horizontal families of lattices. https://doi.org/10.1353/ajm.2024.a917540

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