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On the one-sided boundedness of the local discrepancy of $\{n\alpha \}$-sequences

IF 0.5 3区 数学 Q3 MATHEMATICS
Acta Arithmetica Pub Date : 2022-10-16 DOI:10.4064/aa211015-12-11
J. Ying, Yushu Zheng
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引用次数: 0

Abstract

The main interest of this article is the one-sided boundedness of the local discrepancy of $\alpha\in\mathbb{R}\setminus\mathbb{Q}$ on the interval $(0,c)\subset(0,1)$ defined by \[D_n(\alpha,c)=\sum_{j=1}^n 1_{\{\{j\alpha\}
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$\{n\ α \}$-序列局部差的单侧有界性
本文主要研究的是$\alpha\in\mathbb{R}\setminus\mathbb{Q}$在\[D_n(\alpha,c)=\sum_{j=1}^n 1_{\{\{j\alpha\}
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
Acta Arithmetica
Acta Arithmetica 数学-数学
CiteScore
1.00
自引率
14.30%
发文量
64
审稿时长
4-8 weeks
期刊介绍： The journal publishes papers on the Theory of Numbers.
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