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

preprint2016arXivOpen access

Abstract

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

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