Algebraic Independence Measures for Values of E-functions and M-functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915152327081984 |
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| author | Faverjon, Colin Adamczewski, Boris |
| author_facet | Faverjon, Colin Adamczewski, Boris |
| contents | In this article, we establish a Liouville-type inequality for polynomials evaluated at the values of arbitrary Siegel E-functions at non-zero algebraic points. Additionally, we provide a comparable result within the framework of Mahler M -functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09999 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic Independence Measures for Values of E-functions and M-functions Faverjon, Colin Adamczewski, Boris Number Theory In this article, we establish a Liouville-type inequality for polynomials evaluated at the values of arbitrary Siegel E-functions at non-zero algebraic points. Additionally, we provide a comparable result within the framework of Mahler M -functions. |
| title | Algebraic Independence Measures for Values of E-functions and M-functions |
| topic | Number Theory |
| url | https://arxiv.org/abs/2502.09999 |