A Liouville-Type Inequality for Values of Mahler M-Functions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910116535599104 |
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| author | Adamczewski, Boris Faverjon, Colin |
| author_facet | Adamczewski, Boris Faverjon, Colin |
| contents | We establish a Liouville-type inequality for the values, at a common nonzero algebraic point, of arbitrary Mahler Mq-functions. As an application, we prove that no such value is a Liouville number, or even a U -number. This solves a long-standing problem in the field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_08208 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Liouville-Type Inequality for Values of Mahler M-Functions Adamczewski, Boris Faverjon, Colin Number Theory We establish a Liouville-type inequality for the values, at a common nonzero algebraic point, of arbitrary Mahler Mq-functions. As an application, we prove that no such value is a Liouville number, or even a U -number. This solves a long-standing problem in the field. |
| title | A Liouville-Type Inequality for Values of Mahler M-Functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2604.08208 |