Petersson norms and liftings of Hilbert modular forms

DOI10.1016/j.jnt.2004.01.003zbMath1050.11051OpenAlexW1980958943MaRDI QIDQ1434322

Dominic Lanphier

Publication date: 4 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.2004.01.003

zbMATH Keywords

Eisenstein series\(L\)-functionHilbert modular formSaito-Kurokawa liftIkeda lift

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

On the Petersson norm of the Hilbert-Siegel cusp form under the Ikeda lift, Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture

Cites Work

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• The special values of the zeta functions associated with Hilbert modular forms
• On Saito-Kurokawa descent for congruence subgroups
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• On the Petersson norm of a Siegel-Hecke Eigenform of degree two in the Maass space.
• Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
• On the Linear Representability of Siegel-Hilbert Modular Forms by Theta Series
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