A Reduction Algorithm for Hilbert Modular Groups

2021/11/25 by Fredrik Strömberg, Stromberg, Fredrik · 1 citation
Computer Science · Mathematics · #11F41 (Primary) 11F06 #11Y35 #14G35 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2111.13274

openalex publication_date 2021/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Matrix-valued Hilbert modular forms

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