A Class of Exceptional Sets in Oppenheim Series Expansion
Received:January 20, 2006  Revised:October 12, 2006
Key Words: Oppenheim series expansion   L\"{u}roth series expansion   Hausdorff dimension.  
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Author NameAffiliation
ZHONG Ting Department of Mathematics, Jishou University, Hunan 427000, China 
YANG Zhu-xin Department of Economics, Dongbei University of Finance \& Economics, Dalian 116025, China 
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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 Hausdorff dimension of the set in L\"{u}roth series expansion. Moreover, we give an estimate of such dimensional number.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.03.014
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