| Title |
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en
Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift
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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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en
KAWAMURA, Hisa-aki
ja
河村, 尚明
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| Accessrights |
open access |
| Rights |
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en
© London Mathematical Society
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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 and n be positive even integers. For a cuspidal Hecke eigenform h in the Kohnen plus space of weight k - n/2 + 1/2 for Γ0(4), let In(h) be the Duke-Imamoglu-Ikeda lift of h in the space of cusp forms of weight k for Spn(Z), and f the primitive form of weight 2k - n for SL2(Z) corresponding to h under the Shimura correspondence. We then express the ratio <In(h), In(h)>/<h, h> of the period of In(h) to that of h in terms of special values of certain L-functions of f. This proves the conjecture proposed by Ikeda concerning the period of the Duke-Imamoglu-Ikeda lift.
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| Publisher |
en
London Mathematical Society
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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/10258/3828
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URI
https://muroran-it.repo.nii.ac.jp/records/7189
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| Relation |
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isVersionOf
NAID
120005669626
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isVersionOf
DOI
https://doi.org/10.1112/plms/pdv011
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| Journal |
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PISSN
00246115
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NCID
AA0078577X
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en
Proceedings of the London Mathematical Society. Ser. 3
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Volume Number111
Issue Number5
Page Start445
Page End483
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| File |
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| Oaidate |
2023-10-27 |
