On a new continued fraction expansion with non-decreasing partial quotients

DOI10.1007/s00605-004-0246-3zbMath1072.11061OpenAlexW2068734887WikidataQ56480669 ScholiaQ56480669MaRDI QIDQ706214

Jun Wu, Cornelis Kraaikamp

Publication date: 7 February 2005

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-004-0246-3

zbMATH Keywords

Hausdorff dimensionEngel continued fraction expansionmetric property

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (13)

Metrical property for GCF_ϵ expansion with the parameter function ϵ(k) = c(k + 1) ⋮ On the exceptional sets in Sylvester continued fraction expansion ⋮ Hausdorff dimension of certain sets arising in Engel continued fractions ⋮ Convergence results for Oppenheim expansions. II ⋮ A note on approximation efficiency and partial quotients of Engel continued fractions ⋮ Some results on invariant measures for \(1\)-dimensional maps ⋮ Unnamed Item ⋮ Metrical properties for a class of continued fractions with increasing digits ⋮ Large and moderate deviation principles for Engel continued fractions ⋮ Arithmetic and metric properties of Oppenheim continued fraction expansions ⋮ Convergence for weighted sums of Lüroth type random variables ⋮ Convergence results for Oppenheim expansions ⋮ THE SETS OF DIFFERENT CONTINUED FRACTIONS WITH THE SAME PARTIAL QUOTIENTS

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