摘要
研究了Engel连分数展式的度量性质.与普通连分数一样,证明了部分商的增长性满足0-1率.通过构造一族恰当的集合,得到了部分商增长速度的上下极限.
In this paper, we consider the metric properties in the expansion of Engel continued fraction. Similar to regular continued fraction, we show the growth rate in the partial quotients satisfies the so-called 0-1 law. Moreover, according to constructing a family of proper sets, we obtain the upper and lower limits of the speed of growth rate in the partial quotients.
出处
《数学杂志》
CSCD
北大核心
2005年第5期541-544,共4页
Journal of Mathematics
基金
国家重点基础研究发展规划(973计划)项目
