C. Yip

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20242026

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4 papers · 1 filter

math.NT2025

Bipartite Diophantine tuples and their applications

Kin Ming Tsang, Chi Hoi Yip

This paper investigates bipartite variants of generalized Diophantine tuples and their applications. We generalize a result of Bugeaud--Dujella on a special family of bipartite Dio…

math.CO2025

Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields, II

Chi Hoi Yip

The well-known Van Lint--MacWilliams' conjecture states that if $q$ is an odd prime power, and $A \subseteq F_{q^{2}}$ such that $0, 1 \in A$ , $∣ A ∣ = q$ , and $a - b$ is a square f…

math.CO2025

$f$ -Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials

Seoyoung Kim, Chi Hoi Yip, Semin Yoo

We investigate $f$ -Diophantine sets over finite fields via new explicit constructions of families of quasi-random hypergraphs from multivariate polynomials. In particular, our cons…

math.NT2025

Multiplicative irreducibility of small perturbations of the set of shifted $k$ -th powers

Chi Hoi Yip

Motivated by a conjecture of Erdős on the additive irreducibility of small perturbations of the set of squares, recently Hajdu and Sárközy studied a multiplicative analogue of the…

Bipartite Diophantine tuples and their applications

Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields, II

f-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials

Multiplicative irreducibility of small perturbations of the set of shifted k-th powers

$f$ -Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials

Multiplicative irreducibility of small perturbations of the set of shifted $k$ -th powers