Power series with coefficients from a finite set

doi:10.1016/j.jcta.2017.05.002

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	Power series with coefficients from a finite set
	Bell, Jason P.1; Chen, Shaoshi2
	2017-10-01
发表期刊	JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN	0097-3165
卷号	151 页码:241-253
摘要	We prove in this paper that a multivariate D-finite power series with coefficients from a finite set is rational. This generalizes a rationality theorem of van der Poorten and Shparlinski in 1996. (C) 2017 Elsevier Inc. All rights reserved.
关键词	Power series Szego's theorem D-finiteness Integer points
DOI	10.1016/j.jcta.2017.05.002
语种	英语
资助项目	NSERC[RGPIN-2016-03632] ; NSFC[11501552] ; NSFC[11688101] ; Academy of Mathematics and Systems Science, CAS[2014-cjrwlzx-chshsh]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000405359700012
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25965
专题	系统科学研究所
通讯作者	Bell, Jason P.
作者单位	1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 2.Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Bell, Jason P.,Chen, Shaoshi. Power series with coefficients from a finite set[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A,2017,151:241-253.
APA	Bell, Jason P.,&Chen, Shaoshi.(2017).Power series with coefficients from a finite set.JOURNAL OF COMBINATORIAL THEORY SERIES A,151,241-253.
MLA	Bell, Jason P.,et al."Power series with coefficients from a finite set".JOURNAL OF COMBINATORIAL THEORY SERIES A 151(2017):241-253.