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Petersson norms and liftings of Hilbert modular forms

✍ Scribed by Dominic Lanphier

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 321 KB
Volume: 106
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.01.003

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✦ Synopsis

We prove the algebraicity of the ratio of the Petersson norm of a holomorphic Hilbert modular form over a totally real number field and the norm of its Saito-Kurokawa lift. We prove a similar result for the Ikeda lift of an elliptic modular form. In order to obtain these we combine some results on local symplectic groups to generalize a special value of the standard L-function attached to a Siegel-Hilbert cuspform.

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