| 二次无理数的Khintchine常数(英文) |
| |
| 引用本文： | 李兵.二次无理数的Khintchine常数(英文)[J].数学杂志,2010,30(2). |
| |
| 作者姓名： | 李兵 |
| |
| 作者单位： | 华中科技大学数学与统计学院,湖北,武汉,430074 |
| |
| 摘 要： | 本文研究了二次无理数的Khintchine常数.利用二次无理数的连分数展式,证明了每个二次无理数的P均值Khintchine常数都存在,而且所有二次无理数的p均值Khintchine常数在1,+∞)上稠密,Khintchine常数也有同样的结果.这样的结果与Lévy常数类似.
|
| 关 键 词： | 连分数 P均值Khintchine常数 Khintchine常数 |
ON THE KHINTCHINE CONSTANTS FOR QUADRATIC IRRATIONALS |
| |
| LI Bing.ON THE KHINTCHINE CONSTANTS FOR QUADRATIC IRRATIONALS[J].Journal of Mathematics,2010,30(2). |
| |
| Authors: | LI Bing |
| |
| Institution: | LI Bing(School of Math., Statistics,Huazhong University of Science , Technology,Wuhan 430074,China) |
| |
| Abstract: | In this article,we study the Khintchine constants for quadratic irrationals. By the continued fraction expansion of quadratic irrationals, we show that every quadratic irrational has a p-mean Khintchine constant and the set of p-mean Khintchine constants for quadratic irrationals is dense in 1,+∞). Moreover, we have the same results for Khintchine constant. This result is similar to the Lévy constant. |
| |
| Keywords: | continued fraction expansion p-mean Khintchine constant Khintchine constant |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
