论文标题
在$ \ text {asl}（2，\ mathbb {z}）\ backslash \ text {asl}（2，\ mathbb {r}）$的有效等分分配horocycle部分上的有效分数
Effective equidistribution of rational points on horocycle sections in $\text{ASL}(2,\mathbb{Z}) \backslash \text{ASL}(2,\mathbb{R}) $
论文作者
论文摘要
在本文中，我们证明了在ASL $（2，\ Mathbb {Z}）\ Backslash $ asl $（2，\ Mathbb {r}）中，在某些扩展的Horocycle部分中，原始和非要点的有效等分结果。这提供了作者最近证明的结果的有效版本，并将Einsiedler，Luethi和Shah的最新工作证明了相似的结果，这些结果在模块化表面的单位切线束的背景下得到了类似的结果。
In this paper we prove an effective equidistribution result for both primitive and non-primitive points on certain expanding horocycle sections in ASL$(2,\mathbb{Z}) \backslash $ASL$(2,\mathbb{R})$. This provides an effective version of a result recently proven by the author and generalises recent work by Einsiedler, Luethi and Shah who prove similar results in the context of the unit tangent bundle of the modular surface.
