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Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

Authors :
Chow, Sam
Yu, Han
Publication Year :
2024

Abstract

We investigate the metric theory of Diophantine approximation on missing-digit fractals. In particular, we establish analogues of Khinchin's theorem and Gallagher's theorem, as well as inhomogeneous generalisations.<br />Comment: 36 pages

Subjects

Subjects :
Mathematics - Number Theory
Mathematics - Dynamical Systems
11J83 (primary), 28A80, 42B05 (secondary)

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2412.12070
Document Type :
Working Paper

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