Slow increasing functions and the largest partial quotients in continued fraction expansions

DOI10.1017/S0305004116000815zbMath1378.11080MaRDI QIDQ4600745

Haibo Chen, Jinhua Chang

Publication date: 12 January 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

full Hausdorff dimension

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)

Related Items (3)

SOME RESULTS ON THE LARGEST PARTIAL QUOTIENT IN CONTINUED FRACTIONS ⋮ ON THE LONGEST BLOCK FUNCTION IN CONTINUED FRACTIONS ⋮ ON THE LARGEST PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS

Cites Work

• On the fast Khintchine spectrum in continued fractions
• On the large partial quotients in the continued fraction expansion
• A remark on the growth of the denominators of convergents
• Explicit continued fractions with expected partial quotient growth
• The distribution of the largest digit in continued fraction expansions
• A conjecture of Erdös on continued fractions
• THE DISTRIBUTION OF THE LARGEST COEFFICIENT IN CONTINUED FRACTION EXPANSIONS
• An iterated logarithm type theorem for the largest coefficient in continued fractions
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