On sums of partial quotients in Hurwitz continued fraction expansions

DOI10.1007/s10474-023-01345-3OpenAlexW4382984588MaRDI QIDQ6167188

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Publication date: 4 August 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-023-01345-3

zbMATH Keywords

Hausdorff dimensionHurwitz continued fractionarithmetic mean of partial quotients

Mathematics Subject Classification ID

Fractals (28A80)

Cites Work

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• Estimates for partial sums of continued fraction partial quotients
• Limit theorems for sums of partial quotients of continued fractions
• Approximation properties of some complex continued fractions
• On the construction of the natural extension of the Hurwitz complex continued fraction map
• Sets of exact approximation order by complex rational numbers
• On the distribution for sums of partial quotients in continued fraction expansions
• Hausdorff dimension of real numbers with bounded digit averages
• On sums of partial quotients in continued fraction expansions
• THE DIFFERENCE BETWEEN THE HURWITZ CONTINUED FRACTION EXPANSIONS OF A COMPLEX NUMBER AND ITS RATIONAL APPROXIMATIONS
• Calculations of the Invariant Measure for Hurwitz Continued Fractions
• Subexponentially increasing sums of partial quotients in continued fraction expansions
• Continued fractions for complex numbers and values of binary quadratic forms
• Multifractal analysis of Birkhoff averages for countable Markov maps

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