A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lifting |
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| Authors: | Hidenori Katsurada |
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| Institution: | a Muroran Institute of Technology, 27-1 Mizumoto, Muroran 050-8585, Japan
b Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-Ku, Sapporo 060-0810, Japan |
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| Abstract: | We consider a certain Dirichlet series of Rankin-Selberg type associated with two Siegel cusp forms of the same integral weight with respect to Spn(Z). In particular, we give an explicit formula for the Dirichlet series associated with the Ikeda lifting of cuspidal Hecke eigenforms with respect to SL2(Z). We also comment on a contribution to the Ikeda's conjecture on the period of the lifting. |
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| Keywords: | Siegel modular forms Jacobi forms Periods |
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