节点文献
一类Oppenheim展式的例外关系集(英文)
A Class of Exceptional Sets in Oppenheim Series Expansion
【摘要】 本文研究了Oppenheim展式中一类例外关系集的Hausdorff维数,作为其应用,我们得到了Lüroth级数展式中一些集合的Hausdorff维数的确切值,并给出了这些确切值的一个估计式
【Abstract】 In this paper,we investigate the Hausdorff dimension of a class of exceptional sets occurring in Oppenheim series expansion.As an application,we get the exact Hansdorff dimension of the set in Liiroth series expansion.Moreover,we give an estimate of such dimensional number.
【关键词】 Oppenheim级数展式;
Lüroth级数展式;
Hausdorff维数;
【Key words】 Oppenheim series expansion; Lüroth series expansion; Hausdorff dimension.;
【Key words】 Oppenheim series expansion; Lüroth series expansion; Hausdorff dimension.;
- 【文献出处】 数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,2007年03期
- 【分类号】O173
- 【下载频次】54