Discrepancy of Certain Kronecker Sequences Concerning Transcendental Numbers

被引：0

作者：

Yao Chen Zhu

机构：

[1] Academy of Mathematics and Systems Science,Institute of Applied Mathematics

[2] Chinese Academy of Sciences,undefined

来源：

Acta Mathematica Sinica, English Series | 2007年 / 23卷

关键词：

discrepancy; Kronecker-sequence; transcendental number; 11K38; 11K31;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let ω1, . . . , ωs be a set of real transcendental numbers satisfying a certain Diophantine inequality. The upper bound for the discrepancy of the Kronecker sequence ({nω1}, . . . , {nωs})(1 ≤ n ≤ N) is given. In particular, some low-discrepancy sequences are constructed.

引用

页码：1897 / 1902

页数：5