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KOECHER-MAASS SERIES OF THE IKEDA LIFT FOR U(m,m)
| Title: | KOECHER-MAASS SERIES OF THE IKEDA LIFT FOR U(m,m) |
| Authors: | Katsurada, Hidenori Browse this author |
| Issue Date: | 11-Mar-2014 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1049 |
| Start Page: | 1 |
| End Page: | 21 |
| Abstract: | Let K = Q( √ −D) be an imaginary quadratic field with discriminant −D, and χ the Dirichlet character corresponding to the extension K/Q. Let m = 2n or 2n + 1 with n a positive integer. Let f be a primitive form of weight 2k + 1 and character χ for Γ0(D), or a primitive form of weight 2k for SL2(Z) according as m = 2n, or m = 2n + 1. For such an f let Im(f) be the lift of f to the space of Hermitian modular forms constructed by Ikeda. We then give an explicit formula of the Koecher-Maass series L(s, Im(f)) of Im(f). This is a generalization of Mizuno [Mi06 |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69853 |
| 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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