On the $v$-adic values of G-functions II
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912974726234112 |
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| author | Papas, Georgios |
| author_facet | Papas, Georgios |
| contents | This is the second paper in a series by the author, centered on the study of values of G-functions associated to a $1$-parameter family of abelian varieties $f:\CX\rightarrow S$ and a point $s_0\in S(K)$ over some number field $K$.
Here we study the case where $f:\CX\rightarrow S$ is a family of elliptic curves. Extending work of André and Beukers, we construct relations among the values of G-functions in this setting at points whose fibers are CM elliptic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11814 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the $v$-adic values of G-functions II Papas, Georgios Number Theory This is the second paper in a series by the author, centered on the study of values of G-functions associated to a $1$-parameter family of abelian varieties $f:\CX\rightarrow S$ and a point $s_0\in S(K)$ over some number field $K$. Here we study the case where $f:\CX\rightarrow S$ is a family of elliptic curves. Extending work of André and Beukers, we construct relations among the values of G-functions in this setting at points whose fibers are CM elliptic curves. |
| title | On the $v$-adic values of G-functions II |
| topic | Number Theory |
| url | https://arxiv.org/abs/2510.11814 |