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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.NT2025★ 1 cited
Multiplicative irreducibility of small perturbations of the set of shifted -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…