タイトル |
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KOECHER-MAASS SERIES OF THE IKEDA LIFT FOR U(m,m)
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作成者 |
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Katsurada, Hidenori
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桂田, 英典
ja-Kana
カツラダ, ヒデノリ
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アクセス権 |
open access |
権利情報 |
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en
©2015 Kyoto University
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内容注記 |
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Other
application/pdf
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Abstract
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Let K = √ Q(−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 Hermitian modular forms constructed by Ikeda. We then give an explicit formula of the Koecher-Maass series L(s, Im(f)) of Im(f). This is a generalization of Mizuno [Mi06].
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出版者 |
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Duke University Press on behalf of Kyoto University
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日付 |
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言語 |
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資源タイプ |
journal article |
出版タイプ |
AM |
資源識別子 |
HDL
http://hdl.handle.net/10258/3829
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URI
https://muroran-it.repo.nii.ac.jp/records/7188
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関連 |
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isVersionOf
NAID
120005669627
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isVersionOf
DOI
https://doi.org/10.1215/21562261-2871776
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収録誌情報 |
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PISSN
21562261
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NCID
AA12478508
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en
Kyoto journal of mathematics
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巻55
号2
開始ページ321
終了ページ364
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ファイル |
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コンテンツ更新日時 |
2023-10-27 |