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Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

Published 16 Dec 2024 in math.NT and math.DS | (2412.12070v1)

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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