Some remarks about the minimal polynomials of $4{\sin ^2}\left( {\frac{π}{n}} \right)$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915222765174784 |
|---|---|
| author | Cigler, Johann |
| author_facet | Cigler, Johann |
| contents | We show that the values of the minimal polynomials ${ϕ_n}(x)$ of $4{\sin ^2}\left( {\frac{π}{n}} \right)$ for $x \in \left\{ {0,1,2,3,4} \right\}$ are intimately related to the prime factorization of $n.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19422 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some remarks about the minimal polynomials of $4{\sin ^2}\left( {\frac{π}{n}} \right)$ Cigler, Johann Number Theory 11N32, 11R09 We show that the values of the minimal polynomials ${ϕ_n}(x)$ of $4{\sin ^2}\left( {\frac{π}{n}} \right)$ for $x \in \left\{ {0,1,2,3,4} \right\}$ are intimately related to the prime factorization of $n.$ |
| title | Some remarks about the minimal polynomials of $4{\sin ^2}\left( {\frac{π}{n}} \right)$ |
| topic | Number Theory 11N32, 11R09 |
| url | https://arxiv.org/abs/2503.19422 |