A certain Dirichlet series of RankinSelberg type associated with the Ikeda liftingPreprint Series # 806 This is the latest version of this item.
AbstractIn this paper, we consider a certain Dirichlet series of RankinSelberg type associated with two Siegel cusp forms with respect to $Sp_n(\bf Z)$, which can be viewed as a generalization of the RankinSelberg convolution series for two elliptic modular forms. In particular, we give the explicit formula for the Dirichlet series associated with the socalled 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.
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