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Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift
http://hdl.handle.net/10258/3828
http://hdl.handle.net/10258/38283263729e-5b50-4bb5-ad72-6f5fe962ac3a
名前 / ファイル | ライセンス | アクション |
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Ikeda_conj_LMS_131101_revised.pdf (453.0 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||
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公開日 | 2015-11-16 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者 |
桂田, 英典
× 桂田, 英典× 河村, 尚明 |
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室蘭工業大学研究者データベースへのリンク | ||||||
桂田 英典(KATSURADA Hidenori) | ||||||
http://rdsoran.muroran-it.ac.jp/html/100000125_ja.html | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 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. | |||||
言語 | en | |||||
書誌情報 |
en : Proceedings of the London Mathematical Society. Ser. 3 巻 111, 号 5, p. 445-483, 発行日 2015 |
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出版者 | ||||||
言語 | en | |||||
出版者 | London Mathematical Society | |||||
出版者版へのリンク | ||||||
10.1112/plms/pdv011 | ||||||
https://doi.org/10.1112/plms/pdv011 | ||||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1112/plms/pdv011 | |||||
論文ID(NAID) | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | NAID | |||||
関連識別子 | 120005669626 | |||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 413 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 00246115 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0078577X | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | © London Mathematical Society | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |