The density hypothesis for horizontal families of lattices

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2024-01-18 DOI:10.1353/ajm.2024.a917540

Mikołaj Fra̧czyk, Gergely Harcos, Péter Maga, Djordje Milićević

引用次数: 0

Abstract

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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水平网格族的密度假设

摘要:我们证明了由有界度的所有数域上的所有除法四元数组产生的算术轨道折线宽族的密度假设。我们对非温差表示的乘法的省力约束在量和谱方面是统一的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.