期刊論文
| 學年 | 85 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 1997-06-01 |
| 作品名稱 | Appendix to the paper by T. Luczak--a simple proof of the lower bound : On the fractional dimension of sets of continued fractions |
| 作品名稱（其他語言） | |
| 著者 | Feng, Jun-de; Wu, Jun.; Liang, Jhy-ching; Tseng, Shio-jenn |
| 單位 | 淡江大學數學學系 |
| 出版者 | London Mathematical Society |
| 著錄名稱、卷期、頁數 | Mathematika 44(1), pp.54-55 |
| 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 |
| 關鍵字 | 11J70: NUMBER THEORY; Diophantine approximation; Continued fractions |
| 語言 | en |
| ISSN | 0025-5793 2041-7942 |
| 期刊性質 | 國外 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41420 ) |