Theta liftings for (GLn,GLn) type dual pairs of loop groups

Abstract

In this article we prove the theta liftings of a cusp form on the loop ${\mathrm{GL}}_n$ group over $Q$ induced from a classical cusp form for the loop group version of the “dual pair” $({\mathrm{GL}}_n,{\mathrm{GL}}_n)$ is an Eisenstein series.