How many points contain arithmetic progressions in their continued fraction expansion?

DOI10.4064/aa139-4-4zbMath1205.11092OpenAlexW2072477627MaRDI QIDQ3651100

Xin Tong, Bao-Wei Wang

Publication date: 8 December 2009

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa139-4-4

zbMATH Keywords

Hausdorff dimensioncontinued fractionsarithmetic progressionspartial quotients

Mathematics Subject Classification ID

Fractals (28A80) Arithmetic progressions (11B25) Metric theory of continued fractions (11K50)

Related Items (5)

The relative growth rate of the largest digit in continued fraction expansions ⋮ Multifractal analysis of the convergence exponent in continued fractions ⋮ HAUSDORFF DIMENSIONS OF SOME EXCEPTIONAL SETS IN THE FIRST OSTROGRADSKY SERIES ⋮ The relative growth rate of the largest partial quotient to the sum of partial quotients in continued fraction expansions ⋮ ON POINTS WITH POSITIVE DENSITY OF THE DIGIT SEQUENCE IN INFINITE ITERATED FUNCTION SYSTEMS

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