Explicit continued fractions with expected partial quotient growth
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Publication:2781326
DOI10.1090/S0002-9939-02-06337-2zbMath1028.11003OpenAlexW1524069460MaRDI QIDQ2781326
Publication date: 19 March 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06337-2
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions (11A55) Metric theory of continued fractions (11K50)
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The relative growth rate of the largest digit in continued fraction expansions ⋮ Slow increasing functions and the largest partial quotients in continued fraction expansions ⋮ Full dimensional sets of reals whose sums of partial quotients increase in certain speed ⋮ A remark on Liao and Rams' result on the distribution of the leading partial quotient with growing speed \(e^{n^{1/2}}\) in continued fractions ⋮ The distribution of the largest digit in continued fraction expansions ⋮ The relative growth rate of the largest partial quotient to the sum of partial quotients in continued fraction expansions
Cites Work
