| Title |
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en
KOECHER-MAASS SERIES OF THE IKEDA LIFT FOR U(m,m)
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| Creator |
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en
Katsurada, Hidenori
ja
桂田, 英典
ja-Kana
カツラダ, ヒデノリ
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| Accessrights |
open access |
| Rights |
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en
©2015 Kyoto University
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| Subject |
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| Description |
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Other
application/pdf
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Abstract
en
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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| Publisher |
en
Duke University Press on behalf of Kyoto University
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| Date |
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| Language |
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| Resource Type |
journal article |
| Version Type |
AM |
| Identifier |
HDL
http://hdl.handle.net/10258/3829
,
URI
https://muroran-it.repo.nii.ac.jp/records/7188
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| Relation |
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isVersionOf
NAID
120005669627
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isVersionOf
DOI
https://doi.org/10.1215/21562261-2871776
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| Journal |
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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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Volume Number55
Issue Number2
Page Start321
Page End364
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| File |
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| Oaidate |
2023-10-27 |
