Algebraic independence by approximation method (II)

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	Algebraic independence by approximation method (II)
	Zhu, YC
	2000-07-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1000-9574
卷号	16 期号:3 页码:395-398
摘要	Let f(x) be a continued fraction with elements a(n)x, where coefficients a(n) are positive algebraic numbers. Using the criterion of [1] for any nonzero real algebraic numbers alpha(1),...,alpha(s) with distinct absolute values the algebraic independence of the values f(alpha(1)),...,f(alpha(s)) is proved under certain assumption concerning only with a(n). For some transcendental numbers xi the algebraic independence of values f(xi(j)) (j epsilon Z) is also established.
关键词	algebraic independence continued fraction approximation method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000088498300003
出版者	SPRINGER-VERLAG SINGAPORE PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15196
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	Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhu, YC. Algebraic independence by approximation method (II)[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2000,16(3):395-398.
APA	Zhu, YC.(2000).Algebraic independence by approximation method (II).ACTA MATHEMATICA SINICA-ENGLISH SERIES,16(3),395-398.
MLA	Zhu, YC."Algebraic independence by approximation method (II)".ACTA MATHEMATICA SINICA-ENGLISH SERIES 16.3(2000):395-398.