A certain Dirichlet series of Rankin–Selberg type associated with the Ikeda lifting Original Research Article

We consider a certain Dirichlet series of Rankin–Selberg type associated with two Siegel cusp forms of the same integral weight with respect to image. In particular, we give an explicit formula for the Dirichlet series associated with the Ikeda lifting of cuspidal Hecke eigenforms with respect to image. We also comment on a contribution to the Ikedaʹs conjecture on the period of the lifting.