A Dedekind-Rademacher cocycle for Bianchi groups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911070589812736 |
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| author | Klinger-Logan, Kim Thalagoda, Kalani Wong, Tian An |
| author_facet | Klinger-Logan, Kim Thalagoda, Kalani Wong, Tian An |
| contents | We construct a generalization of the Dedekind-Rademacher cocycle to congruence subgroups of $\mathrm{SL}_2(\mathbb C)$, and derive some of its basic properties. In particular, we show that it parametrizes a family of $L$-values and prove the integrality of these values. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16671 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Dedekind-Rademacher cocycle for Bianchi groups Klinger-Logan, Kim Thalagoda, Kalani Wong, Tian An Number Theory 11F55, 11K70 We construct a generalization of the Dedekind-Rademacher cocycle to congruence subgroups of $\mathrm{SL}_2(\mathbb C)$, and derive some of its basic properties. In particular, we show that it parametrizes a family of $L$-values and prove the integrality of these values. |
| title | A Dedekind-Rademacher cocycle for Bianchi groups |
| topic | Number Theory 11F55, 11K70 |
| url | https://arxiv.org/abs/2507.16671 |