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Hokkaido University Preprint Series in Mathematics >
IKEDA'S CONJECTURE ON THE PERIOD OF THE DUKE-IMAMOGLU-IKEDA LIFT
| Title: | IKEDA'S CONJECTURE ON THE PERIOD OF THE DUKE-IMAMOGLU-IKEDA LIFT |
| Authors: | Katsurada, Hidenori Browse this author | | Kawamura, Hisa-aki Browse this author |
| Issue Date: | 23-Feb-2010 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 954 |
| Start Page: | 1 |
| End Page: | 67 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69761 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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