Conjectures on the fundamental domain of the Hilbert modular group

DOI10.1016/j.camwa.2009.10.023zbMath1189.11028OpenAlexW2092810707WikidataQ123335467 ScholiaQ123335467MaRDI QIDQ980260

Jesse Ira Deutsch

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.10.023

zbMATH Keywords

modular groupquadratic fieldisotropyfundamental domainboundary

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46)

Related Items (3)

A reduction algorithm for Hilbert modular groups ⋮ Cusp shapes of Hilbert-Blumenthal surfaces ⋮ Presentations of groups acting discontinuously on direct products of hyperbolic spaces

Cites Work

• A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory and ``Connections between algebraic number theory and integral matrices.
• Die Fixpunkte einiger Hilbertscher Modulgruppen
• A computational approach to Hilbert modular group fixed points
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