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ON THE PERIOD OF THE IKEDA LIFT FOR U(m,m)
Title: | ON THE PERIOD OF THE IKEDA LIFT FOR U(m,m) |
Authors: | Katsurada, Hidenori Browse this author |
Issue Date: | 2-Feb-2011 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 974 |
Start Page: | 1 |
End Page: | 55 |
Abstract: | Let K = Q( p ¡D) be an imaginary quadratic field with discriminant ¡D, and χ the Dirichlet character corresponding to the extension K/Q. Let m = 2n or 2n + 1 with n a positive integer. Let f be a primitive form of weight 2k+1 and character χ for Γ0(D), or a primitive form of weight 2k for SL2(Z) according as m = 2n, or m = 2n+1. For such an f let Im(f) be the lift of f to the space of modular forms of weight 2k+2n and character det−k−n for the Hermitian modular group Γ(m) K constructed by Ikeda. We then express the period hIm(f), Im(f)i of Im(f) in terms of special values of the adjoint L-functions of f twisted by the character χ. This poves the conjecture concerning the period of the Ikeda lift proposed by Ikeda. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69781 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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