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Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift
http://hdl.handle.net/10258/00008922
http://hdl.handle.net/10258/000089222a591603-1347-49ce-8649-af4e90d54a60
名前 / ファイル | ライセンス | アクション |
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EM_25-3_332-346 (226.4 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||
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公開日 | 2016-06-07 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Kim-Ramakrishnan-Shahidi lif | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | symmetric 6-th L function | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | congruence | |||||
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× 竹森, 翔 |
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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 | For a primitive form f of weight k for SL2(Z), let KS(f) be the Kim-Ramakrishnan-Shahidi (K-R-S) lift of f to the space of cusp forms of weight det(k+1)circle times Sym(k-2) for Sp(2)(Z). Based on some working hypothesis, we propose a conjecture, which relates the ratio KS(f), KS(f)/< f, f >(3) of the periods (Petersson norms) to the symmetric 6th L-value L(3k - 2, f, Sym(6)) of f. From this, we also propose that a prime ideal dividing the (conjectural) algebraic part L(3k - 2, f, Sym(6)) of L(3k - 2, f, Sym(6)) gives a congruence between the K-R-S lift and non-K-R-S lift, and test this conjecture numerically. | |||||
言語 | en | |||||
書誌情報 |
en : Experimental Mathematics 巻 25, 号 3, p. 332-346, 発行日 2016 |
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出版者 | ||||||
言語 | en | |||||
出版者 | Taylor & Francis | |||||
出版者版へのリンク | ||||||
10.1080/10586458.2015.1070777 | ||||||
https://doi.org/10.1080/10586458.2015.1070777 | ||||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1080/10586458.2015.1070777 | |||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 410 | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 1058-6458 | |||||
ISSN | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 1944-950X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA10926641 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | This is an Accepted Manuscript of an article published by Taylor & Francis in Experimental Mathematics on 02/07/2016, available online: http://wwww.tandfonline.com/10.1080/10586458.2015.1070777 | |||||
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 |