Quantitative Khintchine in simultaneous approximation

IF 1.1 3区数学 Q1 MATHEMATICS

Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI:10.3934/dcds.2023107

Shreyasi Datta

引用次数: 0

Abstract

In a ground-breaking work [8], 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.

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同时近似的定量钦钦机

最近，Beresnevich和Yang在一项突破性的工作[8]中证明了非简并流形的同时Diophantine近似中的Khintchine定理，解决了Diophantine近似理论中一个长期存在的问题。在本文中，我们证明了他们的结果的一个有效版本。

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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来源期刊

Discrete and Continuous Dynamical Systems 数学-数学

CiteScore

2.50

自引率

0.00%

发文量

175

审稿时长

6 months

期刊介绍： DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.