Geodesic
On the Analytic Properties of the Standard $L$-Function Attached to Siegel-Jacobi Modular Forms
Documenta mathematica, Tome 24 (2019), pp. 2613-2684.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this work we study the analytic properties of the standard $L$-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Moreover, we obtain results on the analytic properties of Klingen-type Eisenstein series attached to Jacobi groups.
Classification : 11R42, 11F50, 11F66, 11F67, 11F46
Keywords: Jacobi group, Siegel-Jacobi modular forms, \(L\)-functions, Eisenstein series, Hecke operators 
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Bouganis, Thanasis; Marzec, Jolanta. On the Analytic Properties of the Standard \(L\)-Function Attached to Siegel-Jacobi Modular Forms. Documenta mathematica, Tome 24 (2019), pp. 2613-2684. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a0/