3 papers
math.NT2026
An absolute bound for generalized Diophantine tuples over polynomial rings
Kin Ming Tsang, Chi Hoi Yip
Let be an algebraically closed field of characteristic . Let be an integer, and let . 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…
math.CO2025
Avoiding short progressions in Euclidean Ramsey theory
Gabriel Currier, Kenneth Moore, Chi Hoi Yip
We provide a general framework to construct colorings avoiding short monochromatic arithmetic progressions in Euclidean Ramsey theory. Specifically, if denotes colline…