Let f be a normalized primitive holomorphic cusp form of even integral weight for the full modular group =SL (2, Z). Denote by ₒₘ₌^₂f (n) the n th normalized coefficient of the Dirichlet series expansion of the symmetric square L -function L (s, sym^2f). In this paper, we are interested in the shifted convolution sum equation*₇ ₇₍ ₍ ₂₍ₒₘ₌^₂f (n) ₒₘ₌^₂f (n+h). equation* We establish a non-trivial bound for H N^1/4.
Yue Wang (Wed,) studied this question.