On the exceptional sets in Sylvester continued fraction expansion

DOI10.1142/S1793042115501092zbMath1332.11077MaRDI QIDQ3458265

Zhen-Liang Zhang

Publication date: 18 December 2015

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

zbMATH Keywords

Hausdorff dimensionEngel continued fraction expansionOppenheim continued fraction expansionSylvester continued fraction expansion

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50) Homogeneous approximation to one number (11J04)

Cites Work

• On a new continued fraction expansion with non-decreasing partial quotients
• Arithmetic and metric properties of Oppenheim continued fraction expansions
• THE SETS OF DIFFERENT CONTINUED FRACTIONS WITH THE SAME PARTIAL QUOTIENTS

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