Algebraic independence of infinite series
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916631070900224 |
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| author | Hancl, Jaroslav Laursen, Mathias L. Kristensen, Simon |
| author_facet | Hancl, Jaroslav Laursen, Mathias L. Kristensen, Simon |
| contents | We give conditions on a finite set of series of rational numbers to ensure that they are algebraically independent. Specialising our results to polynomials of lower degree, we also obtain new results on irrationality and $mathbb{Q}$-linear independence of such series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19079 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic independence of infinite series Hancl, Jaroslav Laursen, Mathias L. Kristensen, Simon Number Theory 11J85 11J72 We give conditions on a finite set of series of rational numbers to ensure that they are algebraically independent. Specialising our results to polynomials of lower degree, we also obtain new results on irrationality and $mathbb{Q}$-linear independence of such series. |
| title | Algebraic independence of infinite series |
| topic | Number Theory 11J85 11J72 |
| url | https://arxiv.org/abs/2502.19079 |