Quantitative rational approximation on spheres

被引：0
|
作者：
Mahbub Alam
Anish Ghosh
机构：
[1] Tata Institute of Fundamental Research,School of Mathematics
来源：
Selecta Mathematica | 2022年 / 28卷
关键词：
37A17; 11J70; 11K60;
D O I：
暂无
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学科分类号：
摘要：
We prove a quantitative theorem for Diophantine approximation by rational points on spheres. Our results are valid for arbitrary unimodular lattices and we further prove ‘spiraling’ results for the direction of approximates. These results are quantitative generalizations of the Khintchine-type theorem on spheres proved in Kleinbock and Merrill (Israel J Math 209:293–322, 2015).
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