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

Katsurada, Hidenori; Kawamura, Hisa-aki

Hokkaido University Preprint Series in Mathematics, 2006, 806, 1-25

Permalink : https://doi.org/10.14943/83956

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アクセス権	open access
DOI	https://doi.org/10.14943/83956
URI	https://hdl.handle.net/2115/69614
タイトル	A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting
著者	著者名 Katsurada, Hidenori
著者	著者名 Kawamura, Hisa-aki
言語	英語
発行日	2006
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	806
ページ	1-25
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record