Stern polynomials and algebraic independence
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_ | 1866914424325931008 |
|---|---|
| author | Duverney, Daniel Shiokawa, Iekata |
| author_facet | Duverney, Daniel Shiokawa, Iekata |
| contents | Let $t\geq2$ and $k\geq1$ be integers. Let $H_{k}(z)$ with $\left\vert z\right\vert <1$ be the limit of a certain subsequence of the Stern polynomials introduced by Dilcher and Eriksen. We use Mahler's method to prove the algebraic independence of the values at nonzero algebraic points of the functions $H_{k}(z)$ and $H_{k}(z^{t^{k}})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25174 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stern polynomials and algebraic independence Duverney, Daniel Shiokawa, Iekata Number Theory Let $t\geq2$ and $k\geq1$ be integers. Let $H_{k}(z)$ with $\left\vert z\right\vert <1$ be the limit of a certain subsequence of the Stern polynomials introduced by Dilcher and Eriksen. We use Mahler's method to prove the algebraic independence of the values at nonzero algebraic points of the functions $H_{k}(z)$ and $H_{k}(z^{t^{k}})$. |
| title | Stern polynomials and algebraic independence |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.25174 |