Non-vanishing of Maass form symmetric square L-functions

An explicit formula for the second moment of Maass form symmetric square $L$-functions

“…It is known [5,Theorem 1.3] that if h(r) is a smooth characteristic function of the interval (T, 2T ), then (6.5) M2(h; 0, 0) T 2 log 3 T. Lemma 6.2. The following asymptotic formula holds: where a l are some absolute constants and c(l) are defined by (2.22), (2.28), (2.29).…”