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Fractional dimension of some exceptional sets in continued fractions

journal contribution
posted on 2025-03-11, 00:54 authored by Mumtaz HussainMumtaz Hussain, Rebecca Smith, Zhenliang Zhang

In this paper, we calculate the Hausdorff dimension of some exceptional sets that emerge from specific constraints imposed on the partial quotients of continued fractions.

History

Publication Date

2025-03-06

Journal

Comptes Rendus Mathématique

Volume

363

Pagination

57-68

Publisher

Centre Mersenne

ISSN

1631-073X

Rights Statement

© The Authors, 2025. https://creativecommons.org/licenses/by/4.0/

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    Keywords

    continued fractionsgrowth rateHausdorff dimension

    Licence

    CC BY 4.0

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