The Hilbert modular group and orthogonal groups

DOI10.1007/s40993-022-00346-5zbMath1497.11118arXiv2112.11293OpenAlexW4284961994WikidataQ114218006 ScholiaQ114218006MaRDI QIDQ2153908

Adrian Hauffe-Waschbüsch, Aloys Krieg

Publication date: 13 July 2022

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11293

zbMATH Keywords

orthogonal groupcongruence subgroupHilbert modular groupdiscriminant kernel

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Cites Work

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• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
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• The rings of Hilbert modular forms for \(\mathbb{Q}(\sqrt{ 29})\) and \(\mathbb{Q}(\sqrt{ 37})\)
• Bestimmung der Kommensurabilitätsklasse der Hilbertschen Modulgruppe
• Über die Erweiterungsfähigkeit der Hilbertschen Modulgruppe. (On the extendability of the Hilbert module group)
• Integral Orthogonal Groups
• Hilbert Modular Forms and Their Applications
• Maximal discrete subgroups of 𝑆𝑂⁺(2,𝑛+2)
• Quadratische Zahlkörper
• The Fourier-Jacobi functions of n

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