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- W2225787855 abstract "In this paper, we study some exceptional sets of points whose partial quotients in their Sylvester continued fraction expansions obey some restrictions. More precisely, for α ≥ 1 we prove that the Hausdorff dimension of the set [Formula: see text] is one. In addition, we find that the points whose partial quotients in their Sylvester continued fraction expansions obey some property of divisibility have the same Engel continued fraction expansion and Sylvester continued fraction expansion. And we establish that the set of points whose Engel continued fraction expansion and Sylvester continued fraction expansion coincide is uncountable." @default.
- W2225787855 created "2016-06-24" @default.
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- W2225787855 date "2015-11-05" @default.
- W2225787855 modified "2023-09-23" @default.
- W2225787855 title "On the exceptional sets in Sylvester continued fraction expansion" @default.
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- W2225787855 doi "https://doi.org/10.1142/s1793042115501092" @default.
- W2225787855 hasPublicationYear "2015" @default.
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