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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.04324 |
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| _version_ | 1866913187953115136 |
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| author | Ran, Zhenlin |
| author_facet | Ran, Zhenlin |
| contents | Let $q$ be an odd number and $q>5$, and $\mathbb{F}_q$ be a finite field of $q$ elements. We prove that at most finitely many singular moduli of rank 2 $\mathbb{F}_q[t]$-Drinfeld modules are algebraic units. In particular, we develop some techniques of heights of Drinfeld modules to approach it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04324 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Heights and singular moduli of Drinfeld modules Ran, Zhenlin Number Theory Let $q$ be an odd number and $q>5$, and $\mathbb{F}_q$ be a finite field of $q$ elements. We prove that at most finitely many singular moduli of rank 2 $\mathbb{F}_q[t]$-Drinfeld modules are algebraic units. In particular, we develop some techniques of heights of Drinfeld modules to approach it. |
| title | Heights and singular moduli of Drinfeld modules |
| topic | Number Theory |
| url | https://arxiv.org/abs/2303.04324 |