Hilbertsche Modulformen und Modulfunktionen zu \({\mathbb{Q}}(\sqrt{5})\) (Hilbert modular forms and modular functions for \({\mathbb{Q}}(\sqrt{5})\))

DOI10.1007/BF01275576zbMath0552.10016MaRDI QIDQ800959

Rolf Müller

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

elementary determination of generator relationsexplicit transcendence basisgraded ring of Hilbert modular formsrationality of field of Hilbert modular functions

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) Special surfaces (14J25)

Related Items

To the Hilbert class field from the hypergeometric modular function ⋮ On Hilbert modular forms with integral Fourier coefficients ⋮ Icosahedral invariants and a construction of class fields via periods of \(K3\) surfaces ⋮ Icosahedral invariants and Shimura curves ⋮ Hilbert modular polynomials ⋮ Geometric interpretation of Hermitian modular forms via Burkhardt invariants ⋮ Hilbert Modular Forms and Their Applications ⋮ Modular polynomials on Hilbert surfaces ⋮ The structure of mixed weight Hilbert modular forms ⋮ SYMMETRIES FOR BORCHERDS LIFTS ON HILBERT MODULAR GROUPS AND HIRZEBRUCH–ZAGIER DIVISORS

Cites Work

• On Hilbert modular forms. III
• On Hilbert modular forms
• On the graded ring of Hilbert modular forms associated with \(Q (\sqrt 5)\)
• Hilbert modular surfaces
• Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlkörpers \(Q(\sqrt 5)\)
• Modulformen und quadratische Formen über dem quadratischen Zahlkörper \(R(\sqrt 5)\). (Modular forms and quadratic forms over the quadratic number field \(R(\sqrt 5)\))
• On the Ring of Modular Forms of Degree Two Over Z
• HILBERT'S MODULAR GROUP OF THE FIELD $ \mathbf Q(\sqrt 5)$ AND THE CUBIC DIAGONAL SURFACE OF CLEBSCH AND KLEIN
• The Modular Groups of Hilbert and Siegel
• On the Graded Ring of Theta-Constants
• Modular Forms and Projective Invariants
• Lectures on Modular Forms. (AM-48)
• Die Struktur der Funktionenkörper zu hyperabelschen Gruppen. II.
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