Dirichlet series involving special values of Rankin convolutions attached to Siegel modular forms
The author studies a certain Dirichlet series attached to a pair of Siegel modular forms of weights \(g\) and \(g+1\). He proves analytic continuation and functional equation. Using \textit{S. Böcherer's} results about the Fourier-Jacobi expansion of Eisenstein series [Math. Z. 183, 21-46 (1983; Zbl 0503.10018)] he can reduce the proof to similar results of an earlier paper of his [Math. Ann. 28, 697-711 (1990; Zbl 0697.10026)].
scientific article; zbMATH DE number 404321