Multivariate zeta integrals and the wedge square L-function of GU(2,2)
アブストラクト
In this talk, I will present a recent research result conducted with Antonio Cauchi, focusing on the properties of automorphic L-functions. Specifically, we introduce a novel two-variable Rankin--Selberg integral for cusp forms on PGL(4) and PGU(2,2), representing a product of exterior square L-functions. As a corollary, we observe a curious phenomenon where an integral on PGU(2,2) represents the degree 5 L-function of GSp(4) for the cuspidal automorphic representations participating in the theta correspondence for the dual reductive pair (PGSp(4),PGU(2,2)).