Algebraic independence of certain generalized Mahler type numbers

doi:10.1007/s10114-005-0766-3

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	Algebraic independence of certain generalized Mahler type numbers
	Zhu, Yao Chen
	2007
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	23 期号:1 页码:17-22
摘要	In this paper the generalized Mahler type number M-h (g; A, T) is defined, and in the case of multiplicatively dependent parameters g(i), h(i) (1 <= i <= s) the algebraic independence of the numbers Mh(i) (g(i); A; T)(1 < i < s) is proved, where A and T are certain infinite sequences of non-negative integers and of positive integers, respectively. Furthermore, the algebraic independence result on values of a certain function connected with the generalized Mahler type number and its derivatives at algebraic numbers is also given.
关键词	Mahler type numbers generalized Mahler type numbers algebraic independence multiplicative dependence
DOI	10.1007/s10114-005-0766-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000242157400003
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/4614
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, Yao Chen
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	Zhu, Yao Chen. Algebraic independence of certain generalized Mahler type numbers[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2007,23(1):17-22.
APA	Zhu, Yao Chen.(2007).Algebraic independence of certain generalized Mahler type numbers.ACTA MATHEMATICA SINICA-ENGLISH SERIES,23(1),17-22.
MLA	Zhu, Yao Chen."Algebraic independence of certain generalized Mahler type numbers".ACTA MATHEMATICA SINICA-ENGLISH SERIES 23.1(2007):17-22.