Approximation ratio of the digits in Oppenheim series expansion

作者：Wang Bao Wei^*; Wu Jun

来源：Publicationes Mathematicae-Debrecen, 2008, 73(3-4): 317-331.

• Oppenheim series expansion
• approximation ratio
• Hausdorff dimension

This paper is concerned with the Hausdorff dimensions of some sets determined by the approximation ratio of the digits in Oppenheim series expansion. We give a general characterization on the Hausdorff dimensions of such sets. As it's corollaries, we answer the questions posed by Galambos.

• 出版日期2008-10
• 单位华中科技大学