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arXiv · 2412.12070

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

Sam Chow·Han Yu
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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.

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Sam Chow, Han Yu. 2024-12-16. Simultaneous and multiplicative Diophantine approximation on missing-digit fractals. https://arxiv.org/abs/2412.12070

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