A Subconvexity Bound for Automorphic $L$-functions for $SL(3,Z)$

In this joint work with Stephan Baier, we prove a subconvexity bound for Godement-Jacquet $L$-functions associated with Maass forms for $SL(3,Z)$ The bound arrives from extending a method of M. Jutila (with new ingredients and innovations) on exponential sums with Fourier coefficients of holomorphic cusp forms for $SL(2,Z)$ to a $GL(3)$ setting.