Bipartite Diophantine tuples and their applications
Abstract
Abstract 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 Diophantine tuples and affirmatively resolve a related question posed by the second author. Additionally, we establish new connections between bipartite Diophantine tuples and several known variants of Diophantine tuples, including those introduced by Banks–Luca–Szalay and Kihel–Kihel.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Combinatorial Mathematics
Commutative Algebra and Its Applications
Publication details
- Journal / source
- Research in Number Theory
- Volume
- 12
- Issue
- 1
- Publication date
- 18 February 2026
- Language
- EN