Finite and infinite arithmetic progressions related to beta-expansion

DOI10.1155/2014/678769zbMath1474.11029OpenAlexW2084208753WikidataQ59040536 ScholiaQ59040536MaRDI QIDQ1724722

Xianqiang Yang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/678769

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Arithmetic progressions (11B25) Other number representations (11A67)

Cites Work

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• The multifractal spectra for the recurrence rates of beta-transformations
• The primes contain arbitrarily long arithmetic progressions
• Beta-expansion and continued fraction expansion
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• Sequences not Containing an Infinite Arithmetic Progression

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