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PERIODS OF AUTOMORPHIC FORMS: THE TRILINEAR CASE

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  26 October 2015

Shunsuke Yamana
Shunsuke Yamana*
Affiliation:
Hakubi Center, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto 606-8501, Japan Department of mathematics, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto, 606-8502, Japan (yamana07@math.kyoto-u.ac.jp)
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Abstract

Following Jacquet, Lapid and Rogawski, we regularize trilinear periods. We use the regularized trilinear periods to compute Fourier–Jacobi periods of residues of Eisenstein series on metaplectic groups, which has an application to the Gan–Gross–Prasad conjecture.

Keywords

Fourier–Jacobi modeltrilinear formregularizationspecial values of L-functionsWeil representationsGan–Gross–Prasad conjecture

MSC classification

Primary: 11F67: Special values of automorphic $L$-series, periods of modular forms, cohomology, modular symbols 11F70: Representation-theoretic methods; automorphic representations over local and global fields 11F27: Theta series; Weil representation; theta correspondences
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 17 , Issue 1 , February 2018 , pp. 59 - 74
Copyright
© Cambridge University Press 2015 

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