English

A Dedekind-Rademacher cocycle for Bianchi groups

Number Theory 2025-07-23 v1

Abstract

We construct a generalization of the Dedekind-Rademacher cocycle to congruence subgroups of SL2(C)\mathrm{SL}_2(\mathbb C), and derive some of its basic properties. In particular, we show that it parametrizes a family of LL-values and prove the integrality of these values.

Keywords

Cite

@article{arxiv.2507.16671,
  title  = {A Dedekind-Rademacher cocycle for Bianchi groups},
  author = {Kim Klinger-Logan and Kalani Thalagoda and Tian An Wong},
  journal= {arXiv preprint arXiv:2507.16671},
  year   = {2025}
}

Comments

14 pages

R2 v1 2026-07-01T04:13:36.069Z