Sum of the $GL(3)$ Fourier coefficients over mixed powers

Himanshi Chanana, Saurabh Kumar Singh

Let $A(n)$ be the $(1,n)$-th Fourier coefficients of $SL(3,\mathbb{Z})$ Hecke-Maass cusp form, denoted as $A(1,n)$ or the triple divisor function, denoted as $d_3(n)$. Let $k \geqs…