The structure of mixed weight Hilbert modular forms

DOI10.1142/S0129167X19500083zbMath1460.11066OpenAlexW2910770558MaRDI QIDQ3119677

Sho Takemori, Hiroki Aoki

Publication date: 12 March 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x19500083

zbMATH Keywords

Hilbert modular formsdimension formula

Mathematics Subject Classification ID

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

Related Items (1)

The structure of mixed weight Hilbert modular forms

Uses Software

• SINGULAR
• GitHub

Cites Work

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• The theory of Jacobi forms
• On an operator \(U_{\chi}\) acting on the space of Hilbert cusp forms
• Hilbertsche Modulformen und Modulfunktionen zu \({\mathbb{Q}}(\sqrt{5})\) (Hilbert modular forms and modular functions for \({\mathbb{Q}}(\sqrt{5})\))
• On the trace formula of the Hecke operators and the special values of the second L-functions attached to the Hilbert modular forms
• Hilbertsche Modulformen und Modulfunktionen zu \(Q(\sqrt{8})\)
• Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlkörpers \(Q(\sqrt 5)\)
• Hilbert modular pseudodifferential operators
• The structure of mixed weight Hilbert modular forms
• HILBERT MODULAR PSEUDODIFFERENTIAL OPERATORS OF MIXED WEIGHT
• Hecke Eigenvalues for Real Quadratic Fields
• ESTIMATE OF THE DIMENSIONS OF HILBERT MODULAR FORMS BY MEANS OF DIFFERENTIAL OPERATORS
• Die Bestimmung der Funktionen zu einigen Hilbertschen Modulgruppen.

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