A NOTE ON THE RELATIVE GROWTH RATE OF THE MAXIMAL DIGITS IN LÜROTH EXPANSIONS

DOI10.1142/S0218348X20501169zbMath1445.28015OpenAlexW3030253036MaRDI QIDQ5129927

Kangjie He, Xiao-yan Tan

Publication date: 3 November 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x20501169

zbMATH Keywords

Hausdorff dimensionLüroth expansionrelative growth ratemaximal digit

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (2)

The relative growth rate for the digits in Lüroth expansions ⋮ Relative convergence speed of Lüroth expansions and Hausdorff dimension

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The relative growth rate of the largest digit in continued fraction expansions
• On points contain arithmetic progressions in their Lüroth expansion
• Frequency of digits in the Lüroth expansion
• Representations of real numbers by infinite series
• On the metrical theory of continued fraction mixing fibred systems and its application to Jacobi-Perron algorithm
• The efficiency of approximating real numbers by Lüroth expansion
• The fractional dimensional theory in Lüroth expansion
• Dimension of Besicovitch–Eggleston sets in countable symbolic space
• The Rate of Growth of the Denominators in the Oppenheim Series
• Level sets of partial maximal digits for Lüroth expansion
• A note on the largest digits in Lüroth expansion

This page was built for publication: A NOTE ON THE RELATIVE GROWTH RATE OF THE MAXIMAL DIGITS IN LÜROTH EXPANSIONS