Bipartite Diophantine tuples and their applications
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912966801096704 |
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| author | Tsang, Kin Ming Yip, Chi Hoi |
| author_facet | Tsang, Kin Ming Yip, Chi Hoi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03441 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bipartite Diophantine tuples and their applications Tsang, Kin Ming Yip, Chi Hoi Number Theory 11D45, 11D72, 11B30 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. |
| title | Bipartite Diophantine tuples and their applications |
| topic | Number Theory 11D45, 11D72, 11B30 |
| url | https://arxiv.org/abs/2512.03441 |