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Keywords:
Maass form; automorphic form; Rankin-Selberg convolution
Maass form; automorphic form; Rankin-Selberg convolution
Summary:
We consider $L_G(s)$ to be the $L$-function attached to a particular automorphic form $G$ on $GL(6)$. We establish an upper bound for the mean square estimate on the critical line of Rankin-Selberg $L$-function $L_{G \times G}(s)$. As an application of this result, we give an asymptotic formula for the discrete sum of coefficients of $L_{G \times G}(s)$.
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