THE DIFFERENCE BETWEEN THE HURWITZ CONTINUED FRACTION EXPANSIONS OF A COMPLEX NUMBER AND ITS RATIONAL APPROXIMATIONS

DOI10.1142/S0218348X21501796zbMath1483.11146arXiv2104.06562OpenAlexW3160445558WikidataQ114072794 ScholiaQ114072794MaRDI QIDQ5025321

YuBin He, Ying Xiong

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06562

zbMATH Keywords

Hausdorff dimensionpacking dimensionpartial quotientsHurwitz continued fraction\(\psi\)-approximationJarník-type theorem

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory (11J83) Metric theory of continued fractions (11K50)

Related Items (3)

Sets of exact approximation order by complex rational numbers ⋮ On sums of partial quotients in Hurwitz continued fraction expansions ⋮ A complex Borel-Bernstein theorem

Cites Work

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• Dirichlet Uniformly Well-approximated Numbers
• Calculations of the Invariant Measure for Hurwitz Continued Fractions
• Continued fractions for complex numbers and values of binary quadratic forms

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