Bounds for twisted symmetric square L-functions-III

Let f be a Hecke modular form, and let chi be a primitive character of conductor q(l). Assume that q is an odd prime. In this paper we prove the subconvex bound L(1/2, Sym(2) f circle times chi) << f,q,epsilon,q(3l(1/4) (-) (1/36+epsilon)) for any epsilon > 0. This can be compared with the recently established t-aspect subconvexity of the symmetric square L-functions. (C) 2012 Elsevier Inc. All rights reserved.