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On the intersections of localized Jarník sets and localized uniformly Jarník sets in continued fractions

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Publication:1984245
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DOI10.1007/s00013-021-01635-8zbMath1479.11133OpenAlexW3194747145MaRDI QIDQ1984245

Teng Song, Qing-Long Zhou

Publication date: 13 September 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01635-8

zbMATH Keywords

Hausdorff dimensioncontinued fractionlocalized Jarník set


Mathematics Subject Classification ID

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




Cites Work

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  • On the fast Khintchine spectrum in continued fractions
  • Quantitative Poincaré recurrence in continued fraction dynamical system
  • A localized Jarník-Besicovitch theorem
  • Diophantine approximation
  • Sets of exact approximation order by rational numbers
  • On simultaneous Diophantine approximations
  • The relative growth rate for partial quotients in continued fractions
  • A generalization of the Jarník–Besicovitch theorem by continued fractions
  • ON THE LONGEST BLOCK FUNCTION IN CONTINUED FRACTIONS
  • A localized uniformly Jarník set in continued fractions
  • Entropy quotients and correct digits in number-theoretic expansions
  • A dimensional result in continued fractions
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