On Sums Involving Fourier Coefficients of Maass Forms for $\mathrm{SL}(3,\mathbb{Z})$

Abstract

We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for $\mathrm{SL}(3,\mathbb{Z})$, and as an application obtain a pointwise estimate and a second moment estimate for the sums in question.