IKEDA'S CONJECTURE ON THE PERIOD OF THE DUKE-IMAMOGLU-IKEDA LIFT

Katsurada, Hidenori; Kawamura, Hisa-aki

Hokkaido University Preprint Series in Mathematics, 2010, 954, 1-67

Permalink : https://doi.org/10.14943/84101

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DOI	https://doi.org/10.14943/84101
URI	https://hdl.handle.net/2115/69761
タイトル	IKEDA'S CONJECTURE ON THE PERIOD OF THE DUKE-IMAMOGLU-IKEDA LIFT
著者	著者名 Katsurada, Hidenori
著者	著者名 Kawamura, Hisa-aki
言語	英語
発行日	2010-02-23
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	954
ページ	1-67
抄録	Let k and n be positive even integers. For a primitive form f in S2k−n(SL2(Z)), let In(f) be the Duke-Imamo¯glu-Ikeda lift of f to Sk(Spn(Z)), and e f the cusp form in Kohnen’s plus subspace of weight k¡n/2+1/2 for Γ0(4) corresponding to f under the Shimura correspondence. We then express the ratio hIn(f), In(f)i h e f, e fi of the period of In(f) to that of e f in terms of special values of certain L-functions of f. This proves the conjecture proposed by Ikeda [Ike06] concerning the period of the Duke-Imamo¯glu-Ikeda lift.
資源タイプ	紀要論文
出版タイプ	Version of Record