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.

中文翻译：

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Hilbert模块化曲面中扩张球面的原始有理点

在Einsiedler，Mozes，Shah和Shapira的最新工作中，以任意维度研究了膨胀有球面上原始有理点的极限分布，并宣布了该结果的中止版本。因此，我们通过有效混合证明了希尔伯特模块化曲面中原始有理点声明的类似形式。