关于子集的Duke定理
Duke's Theorem for subcollections
摘要：
我们结合有效的混合和杜克定理的模块化表面上的闭测地线，以显示某些子集的集合的测地线与一个给定的判别式仍然equidistributed。这些子集合仅被假定具有足够大的总长度，而没有任何进一步的限制。
英文摘要：
We combine effective mixing and Duke's Theorem on closed geodesics on the modular surface to show that certain subcollections of the collection of geodesics with a given discriminant still equidistribute. These subcollections are only assumed to have sufficiently large total length without any further restrictions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
