Some lacunarity properties of partial quotients of real numbers
Year: 2024
Type: article
Abstract: 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.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.594
Authors: Xuan Zhao, Zhenliang Zhang
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404062520