Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915484248571904 |
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| author | Kataoka, Takenori Okumura, Yoshiaki |
| author_facet | Kataoka, Takenori Okumura, Yoshiaki |
| contents | The Taelman class groups associated to Drinfeld modules over function fields serve as an analogue of ideal class groups of number fields. In this paper, we establish an analogue of Iwasawa's asymptotic formula for $\mathbb{Z}_p$-extensions in the context of the Taelman class groups. For this purpose, we naturally introduce and investigate Taelman class groups with moduli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06633 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules Kataoka, Takenori Okumura, Yoshiaki Number Theory 11G09 (Primary), 11R23 The Taelman class groups associated to Drinfeld modules over function fields serve as an analogue of ideal class groups of number fields. In this paper, we establish an analogue of Iwasawa's asymptotic formula for $\mathbb{Z}_p$-extensions in the context of the Taelman class groups. For this purpose, we naturally introduce and investigate Taelman class groups with moduli. |
| title | Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules |
| topic | Number Theory 11G09 (Primary), 11R23 |
| url | https://arxiv.org/abs/2509.06633 |