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arXiv · 2507.16671

A Dedekind-Rademacher cocycle for Bianchi groups

Kim Klinger-Logan·Kalani Thalagoda·Tian An Wong
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Abstract

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.

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Kim Klinger-Logan, Kalani Thalagoda, Tian An Wong. 2025-07-22. A Dedekind-Rademacher cocycle for Bianchi groups. https://doi.org/10.5802/jtnb.1321

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