# Asymptotic's for Fourier coefficients of $GL(3)$ Maass forms

Let $$f$$ be a $$GL(3)$$ Hecke-Maass cusp form and $$A(m,n)$$ denote its Fourier coefficients.

(1) Are there any lower bounds known for $$\sum_{p\leq x}|A(1,p)|^2$$ or $$\sum_{n\leq x}|A(1,n)|^2$$ ? (we know the lower bound $$\sum_{m^2n\leq x}|A(m,n)|^2\gg_{\delta} x^{1-\delta}$$

(2) Is something known about the dirichlet series (functional equation, meromorphicity etc.) $$\sum_{n=1}^{\infty}\frac{|A(1,n)|^2}{n^s}$$

I know that the $$GL(2)$$ analouges for both question is well known.