REAL

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

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 03 Apr 2024 09:25
Last Modified: 03 Apr 2024 09:25
URI: https://real.mtak.hu/id/eprint/191437

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