|
|||||
|
|
Some distribution results of the Oppenheim continued fractions |
|
| Authors: | Yuanyang?Chang,Jihua?Ma author-information" > author-information__contact u-icon-before" > mailto:jhma@whu.edu.cn" title=" jhma@whu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | 1.School of Mathematics and Statistics,Wuhan University,Wuhan,China |
| Abstract: | We study some distribution properties of the Oppenheim continued fraction expansions. A Gauss–Kuzmin–Lévy type theorem is established. Based on this, a Fréchet law concerning the partial maxima of the growth rate of the digit sequence is derived, which extends previous work of Galambos and Philipp on the regular continued fraction expansion. Besides, a uniform distribution modulo 1 result is obtained. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |