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Takenori Kataoka and
Yoshiaki Okumura
Iwasawa-type asymptotic formula for Taelman class groups of Drinfeld modules
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| Published: |
June 9, 2026. |
| Keywords: |
Iwasawa theory, Taelman class groups, Drinfeld modules, function field arithmetic. |
| Subject [2020]: |
11G09 (Primary), 11R23. |
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Abstract
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 Zp-extensions in the context of the Taelman class groups. For this purpose, we naturally introduce and investigate Taelman class groups with moduli.
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| Acknowledgements
The first author is supported by JSPS KAKENHI Grant Number 22K13898.
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| Author information
Takenori Kataoka
Department of Mathematics
Faculty of Science Division II
Tokyo University of Science
1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan
tkataoka@rs.tus.ac.jp
Yoshiaki Okumura
Department of Architecture
Faculty of Science and Engineering
Toyo University
2100, Kujirai, Kawagoe, Saitama 350-8585, Japan
okumura165@toyo.jp
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