论文标题
同时近似的定量khintchine
Quantitative Khintchine in Simultaneous Approximation
论文作者
论文摘要
在一项开创性的作品\ cite {by}中,Beresnevich和Yang最近证明了Khintchine的定理同时进行了双苯胺近似值,用于非排定歧管,从而解决了二聚体近似理论中长期存在的问题。在本文中,我们证明了其结果的有效版本。
In a ground-breaking work \cite{BY}, Beresnevich and Yang recently proved Khintchine's theorem in simultaneous Diophantine approximation for nondegenerate manifolds resolving a long-standing problem in the theory of Diophantine approximation. In this paper, we prove an effective version of their result.