Xiang Gao

collaborators

2 papers

math.NT2024

On the fractional parts of certain sequences of $ξ α^{n}$

Xiang Gao, Chi Hoi Yip

Assume that $α > 1$ is an algebraic number and $ξ \neq = 0$ is a real number. We are concerned with the distribution of the fractional parts of the sequence $(ξ α^{n})$ . Under various Dio…

math.CA2023

On an Erdős similarity problem in the large

Xiang Gao, Yuveshen Mooroogen, Chi Hoi Yip

In a recent paper, Kolountzakis and Papageorgiou ask if for every $ε \in (0, 1]$ , there exists a set $S \subseteq R$ such that $∣ S \cap I ∣ \geq 1 - ε$ for every int…

On the fractional parts of certain sequences of ξαn

On an Erdős similarity problem in the large

On the fractional parts of certain sequences of $ξ α^{n}$