A reduction algorithm for Hilbert modular groups

Strömberg, Fredrik

Abstract

The aim of this paper is to present an explicit reduction algorithm for Hilbert modular groups over arbitrary totally real number fields. An implementation of the algorithm is available to download from [20]. The exposition is self-contained and sufficient details are given for the reader to understand how it works and implement their own version if desired.

Citation

Strömberg, F. (2022). A reduction algorithm for Hilbert modular groups. Journal of Number Theory, 241, 581-602. https://doi.org/10.1016/j.jnt.2022.02.011

• Journal Article Type: Article
• Acceptance Date: Feb 22, 2022
• Online Publication Date: Mar 26, 2022
• Publication Date: 2022-12
• Deposit Date: Apr 9, 2022
• Publicly Available Date: Apr 13, 2022
• Journal: Journal of Number Theory
• Print ISSN: 0022-314X
• Electronic ISSN: 1096-1658
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 241
• Pages: 581-602
• DOI: https://doi.org/10.1016/j.jnt.2022.02.011
• Keywords: Algebra and Number Theory
• Public URL: https://nottingham-repository.worktribe.com/output/6788032
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0022314X22000567