Hybrid subconvexity for Maass form symmetric-square L-functions

Recently R. Khan and M. Young proved a mean Lindel\"of estimate for the second moment of Maass form symmetric-square L-functions L (sym² u₉, 1/2+it) on the short interval of length G |tⱼ|^1+/t^2/3, where tⱼ is a spectral parameter of the corresponding Maass form. Their estimate yields a subconvexity estimate for L (sym² u₉, 1/2+it) as long as |tⱼ|^6/7+ t< (2-) |tⱼ|. We obtain a mean Lindel\"of estimate for the same moment in shorter intervals, namely for G |tⱼ|^1+/t. As a corollary, we prove a subconvexity estimate for L (sym² u₉, 1/2+it) on the interval |tⱼ|^2/3+ t |tⱼ|^6/7-.