Transcendence of certain trigonometric series

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	Transcendence of certain trigonometric series
	Zhu, YC
	2002-07-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	18 期号:3 页码:481-488
摘要	In this paper the transcendence of values of certain trigonometric series with algebraic coefficients and its derivatives at algebraic points is proved under a general condition dependent only on the coefficients. The proof of the theorem is based on a criterion for linear independence over a number field.
关键词	transcendence trigonometric series linear independence number field
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000177180900007
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17502
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, YC
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhu, YC. Transcendence of certain trigonometric series[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2002,18(3):481-488.
APA	Zhu, YC.(2002).Transcendence of certain trigonometric series.ACTA MATHEMATICA SINICA-ENGLISH SERIES,18(3),481-488.
MLA	Zhu, YC."Transcendence of certain trigonometric series".ACTA MATHEMATICA SINICA-ENGLISH SERIES 18.3(2002):481-488.