具有同余条件的定量丢番图近似

IF 0.3 4区数学 Q4 MATHEMATICS Journal De Theorie Des Nombres De Bordeaux Pub Date : 2020-11-12 DOI:10.5802/jtnb.1161

Mahbub Alam, Anish Ghosh, Shucheng Yu

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引用次数: 9

摘要

在这篇简短的文章中，我们用同余条件证明了Khintchine-Groshev定理的一个定量版本。我们的论证依赖于Schmidt关于计算一般格点的经典论证，而后者又依赖于格空间上的某个方差界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quantitative Diophantine approximation with congruence conditions

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.

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