
Summary: 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 its corollaries, we answer questions posed by J. Galambos.
Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Oppenheim series expansion, Hausdorff dimension, approximation ratio
Metric theory of other algorithms and expansions; measure and Hausdorff dimension, Oppenheim series expansion, Hausdorff dimension, approximation ratio
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