Xiang Gao

collaborators

2 papers

math.NT2026

On the fractional parts of certain sequences of $I^¾ I^\pm^{n}$

Xiang Gao, Chi Hoi Yip

Assume that $I^\pm > 1$ is an algebraic number and $I^¾ \neq = 0$ is a real number. We are concerned with the distribution of the fractional parts of the sequence $(I^¾ I^\pm^{n})$ . Under various…

math.CA2025

On an ErdÅs similarity problem in the large

Xiang Gao, Yuveshen Mooroogen, Chi Hoi Yip

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

On the fractional parts of certain sequences of I^¾I^±n

On an ErdÅs similarity problem in the large

On the fractional parts of certain sequences of $I^¾ I^\pm^{n}$

On an ErdÅs similarity problem in the large