Primitive rational points on expanding horospheres in Hilbert modular surfaces

JOURNAL OF NUMBER THEORY

卷:225

Article

Luethi, Manuel¹ 

[1] Tel Aviv Univ, Dept Math, Tel Aviv, Israel

关键词: Kloosterman sums;    Primitive rational points;    Spectral gap;    Mixing;    Dynamical systems;    Number fields;    Hilbert modular surface;    Hilbert modular group;   

DOI  :  10.1016/j.jnt.2021.02.009

来源: Elsevier

【 摘 要 】

In recent work by Einsiedler, Mozes, Shah and Shapira the limiting distributions of primitive rational points on expanding horospheres was examined in arbitrary dimension, and a suspended version of this result was announced. Motivated by this, we prove an analog to the announcement for primitive rational points in Hilbert modular surfaces via effective mixing. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free