ON THE LARGEST PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS

DOI10.1142/S0218348X21500997zbMath1483.11159OpenAlexW3115770934MaRDI QIDQ5023970

Jian Liu, Lulu Fang

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21500997

zbMATH Keywords

Hausdorff dimensioncontinued fractionslargest partial quotients

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Metric theory of continued fractions (11K50)

Related Items (2)

METRIC THEORY OF PARTIAL QUOTIENTS OF N-CONTINUED FRACTIONS ⋮ SOME RESULTS ON THE LARGEST PARTIAL QUOTIENT IN CONTINUED FRACTIONS

Cites Work

• On the extremal theory of continued fractions
• Estimates for partial sums of continued fraction partial quotients
• Limit theorems for sums of partial quotients of continued fractions
• On the metrical theory of continued fraction mixing fibred systems and its application to Jacobi-Perron algorithm
• On the order of the largest partial quotient of the regular continued fraction expansion
• Regular variation and differential equations
• 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
• A conjecture of Erdös on continued fractions
• Slow increasing functions and the largest partial quotients in continued fraction expansions
• Subexponentially increasing sums of partial quotients in continued fraction expansions
• THE DISTRIBUTION OF THE LARGEST COEFFICIENT IN CONTINUED FRACTION EXPANSIONS
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