2023-03-24T14:56:54Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696142022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda liftingKatsurada, HidenoriKawamura, Hisa-aki410In 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.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69614info:doi/10.14943/83956https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69614/1/pre806.pdfHokkaido University Preprint Series in Mathematics8061252006engpublisher