一类Oppenheim展式的例外关系集(英文)

A Class of Exceptional Sets in Oppenheim Series Expansion

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。

In this paper, we investigate the Hansdorff 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.