On the Petersson norm of the Hilbert-Siegel cusp form under the Ikeda lift

DOI10.55937/sut/1654156196zbMath1497.11111OpenAlexW4285608553MaRDI QIDQ2092319

Hiroshi Sakata, Hisashi Kojima

Publication date: 2 November 2022

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

Full work available at URL: https://doi.org/10.55937/sut/1654156196

zbMATH Keywords

Ikeda liftHilbert-Siegel cusp formsPetersson norm

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) 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)

Cites Work

• Unnamed Item
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• On Hilbert modular forms of half-integral weight
• The critical values of certain zeta functions associated with modular forms of half-integral weight
• The special values of the zeta functions associated with Hilbert modular forms
• On the Petersson norm of certain Siegel modular forms
• Petersson norms and liftings of Hilbert modular forms
• Automorphic forms on GL (2)
• On the Kohnen plus space for Hilbert modular forms of half-integral weight I
• Ikeda's conjecture on the period of the Duke–Imamoḡlu–Ikeda lift
• On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms
• Automorphic Forms on Adele Groups. (AM-83)
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)

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