Analytic Jacobi Eisenstein series and the Shimura method
The author shows that analytic Jacobi Eisenstein series always possess a meromorphic continuation to the whole complex plane. Moreover, a statement on the possible poles is included. In Shimura's investigation on the poles of \(L\)-functions a particular integral appears. This integral can now be interpreted as the Petersson scalar product of an analytic Jacobi Eisenstein series restricted to the Siegel variable against the modular form.
scientific article; zbMATH DE number 2124046