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A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting
Title: | A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting |
Authors: | Katsurada, Hidenori Browse this author | Kawamura, Hisa-aki Browse this author |
Issue Date: | 2006 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 806 |
Start Page: | 1 |
End Page: | 25 |
Abstract: | In this paper, we consider a certain Dirichlet series of Rankin-Selberg type associated with two Siegel cusp forms with respect to $Sp_n(\bf Z)$, which can be viewed as a generalization of the Rankin-Selberg convolution series for two elliptic modular forms. In particular, we give the explicit formula for the Dirichlet series associated with the so-called Ikeda lifting of cuspidal Hecke eigenforms with respect to $SL_2(\bf Z)$. We also comment on a contribution to the Ikeda's conjecture on periods of the lifting. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69614 |
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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