Subconvexity for Symmetric Square L-functions off-centre

Mayukh Dasaratharaman, Ritabrata Munshi

Let $p$ be a prime. Let $f$ be a holomorphic modular form of level $p$ with trivial nebentypus. We prove the bound $L\left(\text{sym}^2f, \frac{1}{2} + it\right) \ll_{f,ε} p^{1/2+ε…