On Petersson norms for some liftings

DOI10.1007/BF01455971zbMath0519.10020MaRDI QIDQ1054768

Masaaki Furusawa

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163914

zbMATH Keywords

Fourier coefficientsSaito-Kurokawa liftingeigenvalues of Hecke operatorsholomorphic base change lifting for GL(2)normalized Petersson inner productPetersson norm of normalized elliptic eigen cusp formspace of holomorphic Siegel cusp formstotally real algebraic number

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)

Related Items

Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\), Ikeda's conjecture on the period of the Duke–Imamoḡlu–Ikeda lift, Petersson norms and liftings of Hilbert modular forms, 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

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