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Hokkaido University Preprint Series in Mathematics >
KOECHER-MAASS SERIES OF A CERTAIN HALF-INTEGRAL WEIGHT MODULAR FORM RELATED TO THE DUKE-IMAMOGLU-IKEDA LIFT
| Title: | KOECHER-MAASS SERIES OF A CERTAIN HALF-INTEGRAL WEIGHT MODULAR FORM RELATED TO THE DUKE-IMAMOGLU-IKEDA LIFT |
| Authors: | Katsurada, Hidenori Browse this author | | Kawamura, Hisa-aki Browse this author |
| Keywords: | Koecher-Maass series | | Duke-Imamoglu-Ikeda lift |
| Issue Date: | 28-Jun-2013 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1038 |
| Start Page: | 1 |
| End Page: | 41 |
| Abstract: | 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 f be the corresponding primitive form of weight 2k ¡ n for SL2(Z) under the Shimura correspondence, and In(h) the Duke-Imamo¯glu-Ikeda lift of h to the space of cusp forms of weight k for Spn(Z). Moreover, let φIn(h),1 be the first Fourier-Jacobi coefficient of In(h) and σn−1(φIn(h),1) be the cusp form in the generalized Kohnen plus space of weight k¡1/2 corresponding to φIn(h),1 under the Ibukiyama isomorphism. We then give an explicit formula for the Koecher-Maass series L(s, σn−1(φIn(h),1)) of σn−1(φIn(h),1) expressed in terms of the usual L-functions of h and f. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69842 |
| 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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