The graded ring of Hermitian modular forms of degree 2 over \(\mathbb Q(\sqrt{-2})\)

DOI10.1016/j.jnt.2003.10.007zbMath1059.11037OpenAlexW2025463619MaRDI QIDQ1876228

Tobias Dern, Aloys Krieg

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.10.007

zbMATH Keywords

relationsgeneratorsgraded ringHermitian modular formsBorcherds productMaaß lifts

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (8)

Remarks on the theta decomposition of vector-valued Jacobi forms ⋮ On some free algebras of orthogonal modular forms ⋮ Graded rings of Hermitian modular forms with singularities ⋮ On sign changes of Fourier coefficients of Hermitian cusp forms of degree two ⋮ Computing Borcherds products ⋮ Graded rings of paramodular forms of levels 5 and 7 ⋮ Two graded rings of Hermitian modular forms ⋮ The classification of free algebras of orthogonal modular forms

Cites Work

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• The Maaß space on the Hermitian half-space of degree 2
• The theory of Jacobi forms
• Quotientendarstellung Hermitescher Modulfunktionen durch Modulformen
• Modular forms on half-spaces of quaternions
• Über ein Analogon zur Vermutung von Saito-Kurokawa. (On an analogue to the Saito-Kurokawa conjection)
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Multiplier systems and characters for Hermitian modular groups
• On the graded ring of modular forms of the Siegel paramodular group of level 2
• The Maaß space for the nontrivial multiplier system over the Hurwitz quaternions
• Graded rings of Hermitian modular forms of degree 2
• Some modular varieties of low dimension
• Hermitian Jacobi forms
• The Gross-Kohnen-Zagier theorem in higher dimensions
• Hermitian modular functions. III. The hermitian modular group
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART I
• CHARACTERS OF PARAMODULAR GROUPS AND SOME EXTENSIONS
• On Siegel Modular Forms of Genus Two
• ON SIEGEL MODULAR VARIETIES OF LEVEL 3

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