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PERIODS OF AUTOMORPHIC FORMS: THE TRILINEAR CASE

Published online by Cambridge University Press:  26 October 2015

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)

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.

Type
Research Article
Copyright
© Cambridge University Press 2015 

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