Some lacunarity properties of partial quotients of real numbers

We consider lacunarity properties of sequence of partial quotients for real numbers in their continued fraction expansions. Hausdorff dimension of the sets of points with different lacunarity conditions on their partial quotients are calculated.

Authors

Xuan Zhao (ORCID: https://orcid.org/0000-0003-3763-3920)
Zhenliang Zhang (ORCID: https://orcid.org/0000-0002-5874-2088)

Publication Details

Journal: Comptes Rendus Mathématique
Published: 2024-11-05
DOI: https://doi.org/10.5802/crmath.594
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 0.00

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article

Some lacunarity properties of partial quotients of real numbers

Xuan Zhao, Zhenliang Zhang

Nov 5, 2024

Comptes Rendus Mathématique

Mathematical Dynamics and Fractals

article

Some lacunarity properties of partial quotients of real numbers

Xuan Zhao, Zhenliang Zhang

November 5, 2024article en

Abstract

Comptes Rendus MathématiqueVol. 362(G10)

Reduced inequalities

Openalex Percentile: Top 68%

Mathematical Dynamics and Fractals

DOI Open Access PDF OpenAlex

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Some lacunarity properties of partial quotients of real numbers — Xuan Zhao, Zhenliang Zhang · Comptes Rendus Mathématique (2024) | TGRS Research Map | TGRS