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Hausdorff dimension for the set with exponentially growing partial quotients in their Lüroth expansion

journal contribution
posted on 2024-04-19, 05:58 authored by Mumtaz HussainMumtaz Hussain, Nikita ShulgaNikita Shulga, Zhenliang Zhang

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Funding

The first and second-named authors are supported by [ARCDP 200100994]. The third-named author is supported by Program of Chongqing Municipal Education Commission (No.KJQN202100528), Projects from Chongqing Municipal Science and Technology Commission (No.CSTB2022NSCQ-MSX1255), and Foundation of Chongqing Normal University (No.20XLB030).

History

Publication Date

2024-06-01

Journal

Discrete and Continuous Dynamical Systems

Volume

44

Issue

6

Pagination

1747 - 1767

Publisher

American Institute of Mathematical Sciences

ISSN

1078-0947

Rights Statement

© 2024 American Institute of Mathematical Sciences

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    Keywords

    metric theory of continued fractions theoryLüroth expansionHausdorff measure and dimensionuniform diophantine approximation

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