Discrepancy of certain kronecker sequences concerning transcendental numbers

doi:10.1007/s10114-005-0939-0

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	Discrepancy of certain kronecker sequences concerning transcendental numbers
	Yao Chen Zhu
	2007-10-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	23 期号:10 页码:1897-1902
摘要	Let omega(1),..., omega(s) be a set of real transcendental numbers satisfying a certain Diophantine inequality. The upper bound for the discrepancy of the Kronecker sequence ({n omega(1)},...,{n omega(s)})(1 <= n <= N) is given. In particular, some low-discrepancy sequences are constructed.
关键词	discrepancy Kronecker-sequence transcendental number
DOI	10.1007/s10114-005-0939-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000249698100017
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5013
专题	中国科学院数学与系统科学研究院
通讯作者	Yao Chen Zhu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yao Chen Zhu. Discrepancy of certain kronecker sequences concerning transcendental numbers[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(10):1897-1902.
APA	Yao Chen Zhu.(2007).Discrepancy of certain kronecker sequences concerning transcendental numbers.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(10),1897-1902.
MLA	Yao Chen Zhu."Discrepancy of certain kronecker sequences concerning transcendental numbers".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.10(2007):1897-1902.