2018年11月23日下午,南京师范大学课程与教学研究所所长、博士生导师喻平教授在我院报告厅作了题为“数学教育实证研究的选题与设计”的学术报告。报告由院长刘宏伟主持,我校数学教育研究团队的相关老师及相关专业的部分博士生、硕士生、访问学者50余人参加了本次报告。

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数苑博雅讲座
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数苑讲座之二:The measure and fractal properties of Dirichlet non-improvable sets

发布时间:2021-09-17 作者: 浏览次数:
Speaker 吴军 DateTime 2021年9月20日(周一)下午3:40-4:40
Place 6号楼二楼报告厅 Abstract Dirichlet’s theorem is a fundamental result in metric Diophantine approxima-
tion. The improvability of this theorem was first considered by Davenport and
Schmidt. After them, Kleinbock and Wadleigh proposed the concept of Dirich-
let improvable point formally in 2018 and launched relevant work. Their results
show that the improvability of Dirichlet’s theorem is concerned with the growth
of the product of the partial quotients.
   In this talk, we present some results on the size of uniformly Dirichlet non–
improvable set, the size of exact Dirichlet non–improvable set and metric prop-
erties of the product of the partial quotients in continued fractions.

吴军 教授 ,华中科技大学。

 

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