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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.05890 |
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| _version_ | 1866911911615922176 |
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| author | Kumar, Rishi |
| author_facet | Kumar, Rishi |
| contents | Let $(a_n)_{n=0}^\infty$ be a second-order linear recurrence sequence with constant coefficients over the field of $p$-adic numbers $\mathbb{Q}_p$. We study the set of limit points of the sequence of consecutive ratios $(a_{n+1}/a_{n})_{n=0}^\infty$ in $\mathbb{Q}_p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05890 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kepler Sets of Second-Order Linear Recurrence Sequences Over $\mathbb{Q}_p$ Kumar, Rishi Number Theory 11B39, 11K41 Let $(a_n)_{n=0}^\infty$ be a second-order linear recurrence sequence with constant coefficients over the field of $p$-adic numbers $\mathbb{Q}_p$. We study the set of limit points of the sequence of consecutive ratios $(a_{n+1}/a_{n})_{n=0}^\infty$ in $\mathbb{Q}_p$. |
| title | Kepler Sets of Second-Order Linear Recurrence Sequences Over $\mathbb{Q}_p$ |
| topic | Number Theory 11B39, 11K41 |
| url | https://arxiv.org/abs/2406.05890 |