Simultaneous and multiplicative Diophantine approximation on missing-digit fractals

Autor:	Chow, Sam, Yu, Han
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Dynamical Systems 11J83 (primary) 28A80 42B05 (secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 36 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.12070 Zobrazit plný text záznamu View this record from Arxiv