How many points have the same Engel and Sylvester expansions?

DOI10.1016/S0022-314X(03)00017-9zbMath1051.11044WikidataQ61645823 ScholiaQ61645823MaRDI QIDQ1415364

Jun Wu

Publication date: 3 December 2003

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

zbMATH Keywords

Hausdorff dimensionEngel expansionsSylvester expansions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Polynomials over finite fields (11T06) Fractals (28A80)

Related Items (5)

ON SOME EXCEPTIONAL SETS IN ENGEL EXPANSIONS AND HAUSDORFF DIMENSIONS ⋮ Hausdorff dimensions of some exceptional sets in Engel expansions ⋮ The growth rate of the partial quotients in a class of continued fractions with parameters ⋮ Unnamed Item ⋮ THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representations of real numbers by infinite series
• Hausdorff dimensions in Engel expansions
• ON THE DISTRIBUTION OF DENOMINATORS IN SYLVESTER EXPANSIONS
• On the Denominators in Sylvester's Series
• On the distribution of denominators in Sylvester expansions (II)
• FUTHER ERGODIC RESULTS ON THE OPPENHEIM SERIES
• THE ERGODIC PROPERTIES OF THE DENOMINATORS IN THE OPPENHEIM EXPANSION OF REAL NUMBERS INTO INFINITE SERIES OF RATIONALS
• On the speed of convergence of the Oppenheim series

This page was built for publication: How many points have the same Engel and Sylvester expansions?