A Reduction Algorithm for Hilbert Modular Groups
Fredrik Stromberg
TL;DR
This paper introduces an explicit reduction algorithm for Hilbert modular groups over totally real number fields, providing detailed explanations and an available implementation for practical use.
Contribution
It presents a novel, explicit reduction algorithm for Hilbert modular groups applicable to arbitrary totally real fields, with comprehensive implementation details.
Findings
Algorithm implementation available for download
Self-contained exposition with detailed instructions
Facilitates understanding and implementation of the reduction process
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 [19]. 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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Coding theory and cryptography