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Congruences between Hilbert modular forms: constructing ordinary lifts

โœ Scribed by Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David


Book ID
120402175
Publisher
Duke University Press
Year
2012
Tongue
English
Weight
579 KB
Volume
161
Category
Article
ISSN
0012-7094

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๐Ÿ“œ SIMILAR VOLUMES


Petersson norms and liftings of Hilbert
โœ Dominic Lanphier ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 321 KB

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 l