Bounds for twisted symmetric square L-functions

Let f is an element of S-k (N, psi) be a newform, and let chi be a primitive character of conductor q(l). Assume that q is a prime and l > 1. In this paper we describe a method to establish convexity breaking bounds of the form L(1/2, Sym(2) f circle times chi) <<(f, epsilon) q(3/4l-delta l+epsilon) for some delta(l) > 0 and any epsilon > 0. In particular, for l = 3 we show that the bound holds with delta(l) = 1/4.