On points contain arithmetic progressions in their Lüroth expansion

DOI10.1016/S0252-9602(15)30093-XzbMath1363.11080OpenAlexW2196224079MaRDI QIDQ320509

Zhen-Liang Zhang, Chun-Yun Cao

Publication date: 6 October 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(15)30093-x

zbMATH Keywords

Hausdorff dimensionarithmetic progressionLüroth expansion

Mathematics Subject Classification ID

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

Related Items (6)

On the longest block in Lüroth expansion ⋮ HAUSDORFF DIMENSIONS OF SOME EXCEPTIONAL SETS IN THE FIRST OSTROGRADSKY SERIES ⋮ FINITE PATTERN PROBLEMS RELATED TO LÜROTH EXPANSION ⋮ A NOTE ON THE RELATIVE GROWTH RATE OF THE MAXIMAL DIGITS IN LÜROTH EXPANSIONS ⋮ On approximation by random Lüroth expansions ⋮ ON POINTS WITH POSITIVE DENSITY OF THE DIGIT SEQUENCE IN INFINITE ITERATED FUNCTION SYSTEMS

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