Chi Hoi Yip

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math.NT2026

An absolute bound for generalized Diophantine tuples over polynomial rings

Kin Ming Tsang, Chi Hoi Yip

Let $F$ be an algebraically closed field of characteristic $0$ . Let $k \geq 2$ be an integer, and let $n \in F [x] ∖ {0}$ . We study generalized Diophantine tup…

math.NT2026

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…