タイトル |
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Congruence Primes of the Kim-Ramakrishnan-Shahidi Lift
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作成者 |
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Katsurada, Hidenori
ja
桂田, 英典
ja-Kana
カツラダ, ヒデノリ
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TAKEMORI, Sho
ja
竹森, 翔
ja-Kana
タケモリ, ショウ
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アクセス権 |
open access |
権利情報 |
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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
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主題 |
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NDC
410
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Other
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Kim-Ramakrishnan-Shahidi lif
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Other
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symmetric 6-th L function
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Other
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congruence
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内容注記 |
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Other
application/pdf
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Abstract
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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.
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出版者 |
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Taylor & Francis
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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/10258/00008922
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URI
https://muroran-it.repo.nii.ac.jp/records/8937
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関連 |
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isVersionOf
DOI
https://doi.org/10.1080/10586458.2015.1070777
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収録誌情報 |
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PISSN
1058-6458
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EISSN
1944-950X
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NCID
AA10926641
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en
Experimental Mathematics
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巻25
号3
開始ページ332
終了ページ346
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ファイル |
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コンテンツ更新日時 |
2024-02-16 |