CYCLIC SHIFTS OF THE VAN DER CORPUT SET

被引：5
|
作者：
Bilyk, Dmitriy [1 ]
机构：
[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 08期
基金：
美国国家科学基金会;
关键词：
Discrepancy theory; Fourier analysis; IRREGULARITIES;
D O I：
10.1090/S0002-9939-09-09854-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In 1980. K. Roth showed that the expected value of the L(2) discrepancy of the cyclic shifts of the N-point van der Corput set, is bounded by a constant multiple of root log N, thus guaranteeing the existence of a shift with asymptotically minimal L(2) discrepancy. In the present paper, we construct a specific example of such a shift.
引用
收藏
页码：2591 / 2600
页数：10
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