论文标题
与一致性条件的定量双苯胺近似
Quantitative Diophantine approximation with congruence conditions
论文作者
论文摘要
在这篇简短的论文中，我们证明了具有一致条件的Khintchine-Groshev定理的定量版本。我们的论点依靠施密特的经典论点来计算通用晶格点，这反过来依赖于在晶格空间上绑定的一定方差。
In this short paper we prove a quantitative version of the Khintchine-Groshev Theorem with congruence conditions. Our argument relies on a classical argument of Schmidt on counting generic lattice points, which in turn relies on a certain variance bound on the space of lattices.
