A simple proof of Zagier duality for Hilbert modular forms

DOI10.1090/S0002-9939-06-08440-1zbMath1163.11323OpenAlexW1607014102MaRDI QIDQ3419925

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Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08440-1

zbMATH Keywords

modular formsHilbert modular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (6)

Zagier duality for real weights ⋮ On Fourier coefficients of Eisenstein series and Niebur Poincaré series of integral weight ⋮ Half-integral weight modular forms and modular forms for Weil representations ⋮ Zagier duality for harmonic weak Maass forms of integral weight ⋮ Structures for pairs of mock modular forms with the Zagier duality ⋮ Zagier duality and integrality of Fourier coefficients for weakly holomorphic modular forms

Cites Work

• On Borcherds products associated with lattices of prime discriminant
• ZAGIER DUALITY FOR THE EXPONENTS OF BORCHERDS PRODUCTS FOR HILBERT MODULAR FORMS

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