Moments and Non-Vanishing of Maass Form Symmetric Square L-Functions in Short Intervals

Recently, Li obtained a mean Lindelöf estimate for the cubic moment of the central values of Maass form symmetric square $L$-functions over short intervals $(T-H, T+H)$ of length $H \ge T^{18/19+ε}$. We improve this result by showing that the estimate holds for $H \gg T^{6/7+ε}$. The key ingredient