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	Badziahin-Pollington-Velani's theorem and Schmidt's game
	An, Jinpeng
	2013
关键词	BADLY APPROXIMABLE NUMBERS
英文摘要	We prove that for any s, t >= 0 with s + t = 1 and any theta is an element of R with inf(q is an element of N)q(1/s)vertical bar vertical bar q theta vertical bar vertical bar > 0, the set of y is an element of R for which (theta, y) is (s, t)-badly approximable is 1/2-winning for Schmidt's game. As a consequence, we remove a technical assumption in a recent theorem of Badziahin-Pollington-Velani on simultaneous Diophantine approximation.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000321718600007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 6; ARTICLE; 721-733; 45
语种	英语
出处	SCI
出版者	bulletin of the london mathematical society
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314333]
专题	数学科学学院
推荐引用方式 GB/T 7714	An, Jinpeng. Badziahin-Pollington-Velani's theorem and Schmidt's game. 2013-01-01.

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