THE SETS OF DIFFERENT CONTINUED FRACTIONS WITH THE SAME PARTIAL QUOTIENTS

DOI10.1142/S1793042113500619zbMath1284.11112OpenAlexW2006779840MaRDI QIDQ2867005

Ting Zhong, Liang Tang

Publication date: 10 December 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042113500619

zbMATH Keywords

Hausdorff dimensionpartial quotientsEngel continued fractionsRegular continued fractions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50)

Related Items (3)

On the exceptional sets in Sylvester continued fraction expansion ⋮ Hausdorff dimension of certain sets arising in Engel continued fractions ⋮ A note on approximation efficiency and partial quotients of Engel continued fractions

Cites Work

• Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients
• On a new continued fraction expansion with non-decreasing partial quotients
• A remark on continued fractions with sequences of partial quotients
• HAUSDORFF DIMENSION OF SETS OF CONTINUED FRACTIONS
• On the fractional dimension of sets of continued fractions
• A problem of Hirst on continued fractions with sequences of partial quotients
• Continued fractions with sequences of partial quotients

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