A two variable Rankin-Selberg integral for $\mathrm{GU}(2,2)$ and the degree 5 $L$-function of ${\mathrm{GSp}}_4$

Antonio Cauchi, Armando Gutierrez Terradillos

We give a two-variable Rankin--Selberg integral for generic cusp forms on ${\mathrm{PGL}}_4$ and ${\mathrm{PGU}}_{2,2}$ which represents a product of exterior square $L$-functions. As…