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# A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting

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 Please use this identifier to cite or link to this item:http://doi.org/10.14943/83956

 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 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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