Metaplectic Theta Functions and Global Integrals

Solomon Friedberg, David Ginzburg

We convolve a theta function on an $n$-fold cover of $G{L}_3$ with an automorphic form on an $n^{\prime }$-fold cover of $G{L}_2$ for suitable $n,n^{\prime }$. To do so, we induce the theta function to…