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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.17365 |
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| _version_ | 1866914252732760064 |
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| author | Bérczes, Attila Hajdu, Lajos Ostafe, Alina Shparlinski, Igor E. |
| author_facet | Bérczes, Attila Hajdu, Lajos Ostafe, Alina Shparlinski, Igor E. |
| contents | For a wide class of integer linear recurrence sequences $\left(u(n)\right)_{n=1}^\infty$, we give an upper bound on the number of $s$-tuples $\left(n_1, \ldots, n_s\right) \in \left(\mathbb Z\cap [M+1,M+ N]\right)^s$ such that the corresponding elements $u(n_1), \ldots, u(n_s)$ in the sequence are multiplicatively dependent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplicative dependence in linear recurrence sequences Bérczes, Attila Hajdu, Lajos Ostafe, Alina Shparlinski, Igor E. Number Theory For a wide class of integer linear recurrence sequences $\left(u(n)\right)_{n=1}^\infty$, we give an upper bound on the number of $s$-tuples $\left(n_1, \ldots, n_s\right) \in \left(\mathbb Z\cap [M+1,M+ N]\right)^s$ such that the corresponding elements $u(n_1), \ldots, u(n_s)$ in the sequence are multiplicatively dependent. |
| title | Multiplicative dependence in linear recurrence sequences |
| topic | Number Theory |
| url | https://arxiv.org/abs/2501.17365 |