On some arithmetic conditions of recurrent sequences modulo prime p
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918519372775424 |
|---|---|
| author | Vyugin, Ilya Dutta, Sashadhar |
| author_facet | Vyugin, Ilya Dutta, Sashadhar |
| contents | We study the $K$-Fibonacci sequence $\mathcal{F}_p$ modulo prime $p$. Cardinalities of sets $|\mathcal{F}_p+\mathcal{F}_p|$ and $|\mathcal{F}_p\cdot\mathcal{F}_p|$ are estimated. We present the method of estimating doubling constant of some $m$-dimensional recurrent sets in $\mathbb{F}_p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24146 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On some arithmetic conditions of recurrent sequences modulo prime p Vyugin, Ilya Dutta, Sashadhar Number Theory We study the $K$-Fibonacci sequence $\mathcal{F}_p$ modulo prime $p$. Cardinalities of sets $|\mathcal{F}_p+\mathcal{F}_p|$ and $|\mathcal{F}_p\cdot\mathcal{F}_p|$ are estimated. We present the method of estimating doubling constant of some $m$-dimensional recurrent sets in $\mathbb{F}_p$. |
| title | On some arithmetic conditions of recurrent sequences modulo prime p |
| topic | Number Theory |
| url | https://arxiv.org/abs/2605.24146 |