On shifted convolution sums of $\mathrm{GL}(3)$-Fourier coefficients with an average over shifts

Ritwik Pal, Sampurna Pal

Let $F$ be a Hecke-Maass cusp form for ${\mathrm{SL}}_3(\mathbb{Z})$ and $A(m,n)$ be its normalized Fourier coefficients. Let $V$ be a smooth function, compactly supported on $[1,2]$…