Sum of the $GL(3)$ Fourier coefficients over quadratics

Himanshi Chanana, Saurabh Kumar Singh

Let $A(n)$ denote the $(1,n)\text{-th}$ Fourier coefficient of a $SL(3,\mathbb{Z})$ Hecke eigenform or the ternary divisor function $d_3(n)$. Let $Q(x,y)$ be a symmetric positive…