Chi Hoi Yip

collaborators

5 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.CO2026

Cliques in Paley graphs of square order and in Peisert graphs

Andries E. Brouwer, Sergey Goryainov, Leonid Shalaginov +1

We study maximal cliques in the collinearity graphs of Desarguesian nets, give some structural results and some numerical information. In particular, we show for Desarguesian nets…

math.CO2025

Generalized additive bases and difference bases for Cartesian product of finite abelian groups

Shuxing Li, Chi Hoi Yip

For a finite group $G$ and positive integer $g$ , a $g$ -additive basis is a subset of $G$ whose pairwise sums cover each element of $G$ at least $g$ times, with $g$ -difference bases…

math.NT2025

Oscillation results for the summatory functions of fake mu's

Greg Martin, Chi Hoi Yip

Mossinghoff, Trudgian, and the first author~\cite{MMT23} recently introduced a family of arithmetic functions called ``fake $I^¼$ 's'', which are multiplicative functions for which t…

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

Cliques in Paley graphs of square order and in Peisert graphs

Generalized additive bases and difference bases for Cartesian product of finite abelian groups

Oscillation results for the summatory functions of fake mu's

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