Linear independence of continued fractions with algebraic terms
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913406356815872 |
|---|---|
| author | Hančl, Jaroslav Laursen, Mathias L. Leta, Jitu Berhanu |
| author_facet | Hančl, Jaroslav Laursen, Mathias L. Leta, Jitu Berhanu |
| contents | We give conditions on sequences of positive algebraic numbers $\{a_{n,j}\}_{n=1}^\infty$, $j=1,\dots ,M$ and number field $\mathbb K$ to ensure that the numbers defined by the continued fractions $[0;a_{1,j},a_{2,j},\dots ]$, $j=1,\dots ,M$ and $1$ are linearly independent over $\mathbb K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear independence of continued fractions with algebraic terms Hančl, Jaroslav Laursen, Mathias L. Leta, Jitu Berhanu Number Theory 11J72, 11J70 We give conditions on sequences of positive algebraic numbers $\{a_{n,j}\}_{n=1}^\infty$, $j=1,\dots ,M$ and number field $\mathbb K$ to ensure that the numbers defined by the continued fractions $[0;a_{1,j},a_{2,j},\dots ]$, $j=1,\dots ,M$ and $1$ are linearly independent over $\mathbb K$. |
| title | Linear independence of continued fractions with algebraic terms |
| topic | Number Theory 11J72, 11J70 |
| url | https://arxiv.org/abs/2406.19047 |