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

Preprint Series # 806
Katsurada, Hidenori and Kawamura, Hisa-aki A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting. (2006);

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## 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.

Item Type: Preprint 11-xx NUMBER THEORY 1630

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• A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting. (deposited 07 Mar 2007) [Currently Displayed]