On Wintner's conjecture about central configurations

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	On Wintner's conjecture about central configurations
	Wu, WT
	2005
发表期刊	COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS
ISSN	0302-9743
卷号	3519 页码:1-4
摘要	According to Wintner, the study of central configurations in celestial mechanics may be reduced to an extremality problem. Wintner's Conjecture amounts to saying that the corresponding extremal zeroes for each fixed number n of different masses is finite. By the author's Finite Kernel Theorem it follows that the corresponding number of extremal values is finite for each fixed n. Thus, Wintner's Conjecture will be true or false according to whether there will be only a finite number of extremal zeroes or not. This gives thus a, new way of attacking Wintner's Conjecture.
关键词	celestial mechanics central configurations Wintner's conjecture extrernal values extremal zeroes finite kernel theorem
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000230362900001
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/1957
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, WT
作者单位	Chinese Acad Sci, Math Mech Key Lab, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wu, WT. On Wintner's conjecture about central configurations[J]. COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,2005,3519:1-4.
APA	Wu, WT.(2005).On Wintner's conjecture about central configurations.COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS,3519,1-4.
MLA	Wu, WT."On Wintner's conjecture about central configurations".COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS 3519(2005):1-4.