L-functions on $GSp_2 \times Gl_2$ of mixed weights

Abstract

In this paper we investigate the properties of the automorphic (standard) L-function on \(GSp_2 \times Gl_2\) for the case, where the automorphic form comes from a holomorphic Siegel modular form and a holomorphic elliptic modular form. To cover arbitrary weights, we use two different types of differential operators.