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．Seminars

	European-Asian Joint Webinar on Dynamical Systems

14:00 - 15:00, October 21, 2022 (Friday)
Zoom, Online seminar
(線上演講 Zoom)
Rational Numbers in $\times b$-invariant Set
Ruofan Li (South China University of Technology)

Abstract

Let $b \geq 2$ be an integer and $S$ be a finite non-empty set of primes not containing divisors of $b$ . For any $\times b$ -invariant, non-dense subset $A$ of $[0,1)$ , we prove the finiteness of rational numbers in A whose denominators can only be divided by primes in $S$ . A quantitative result on the largest prime divisors of the denominators of rational numbers in $A$ is also obtained. This is joint work with Bing Li and Yufeng Wu.

Link Information: https://us02web.zoom.us/j/82058526043?pwd=Z0QzVXZVNDRTRkhJMG4rQ0dlSlkzUT09