Natural density of rank-$2$ Drinfeld modules with big Galois image
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910540733874176 |
|---|---|
| author | Chen, Chien-Hua |
| author_facet | Chen, Chien-Hua |
| contents | In this paper, we compute the natural density of rank-$1$ Drinfeld module over $\mathbb{F}_q[T]$ with surjective adelic Galois representation; and the natural density of rank-$2$ Drinfeld modules over $\mathbb{F}_q[T]$ whose $\mathfrak{l}$-adic Galois image containing the special linear subgroup for finitely many prime ideal $\mathfrak{l}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15109 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Natural density of rank-$2$ Drinfeld modules with big Galois image Chen, Chien-Hua Number Theory In this paper, we compute the natural density of rank-$1$ Drinfeld module over $\mathbb{F}_q[T]$ with surjective adelic Galois representation; and the natural density of rank-$2$ Drinfeld modules over $\mathbb{F}_q[T]$ whose $\mathfrak{l}$-adic Galois image containing the special linear subgroup for finitely many prime ideal $\mathfrak{l}$. |
| title | Natural density of rank-$2$ Drinfeld modules with big Galois image |
| topic | Number Theory |
| url | https://arxiv.org/abs/2403.15109 |