Appendix to the paper by T. Luczak--a simple proof of the lower bound : On the fractional dimension of sets of continued fractions

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題名:	Appendix to the paper by T. Luczak--a simple proof of the lower bound : On the fractional dimension of sets of continued fractions
作者:	Feng, Jun-de;Wu, Jun.;Liang, Jhy-ching;Tseng, Shio-jenn
貢獻者:	淡江大學數學學系
關鍵詞:	11J70: NUMBER THEORY;Diophantine approximation;Continued fractions
日期:	1997-06
上傳時間:	2010-01-28 07:31:49 (UTC+8)
出版者:	London Mathematical Society
摘要:	In this note we point out that a simple proof of the lower bound of the sets (b, c), and so also of Ξ(b, c), defined in the previous paper [1] can be obtained as a simple application of a general method. By Example 4.6 from [2], if [0, 1] = E0⊃E1⊃ … are sets each of which is a finite union of disjoint closed intervals such that each interval of Ek−1, contains at least mk intervals of Ek which are separated by gaps of lengths at least εk, and if mk≥2 and εk≥εk+1>0, then the dimension of the intersection of Ek is at least
關聯:	Mathematika 44(1), pp.54-55
DOI:	10.1112/S0025579300011967
顯示於類別:	[數學學系暨研究所] 期刊論文

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