Simultaneous and multiplicative Diophantine approximation on missing-digit fractals
Number Theory
2025-08-07 v2 Dynamical Systems
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.
Cite
@article{arxiv.2412.12070,
title = {Simultaneous and multiplicative Diophantine approximation on missing-digit fractals},
author = {Sam Chow and Han Yu},
journal= {arXiv preprint arXiv:2412.12070},
year = {2025}
}
Comments
33 pages