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On Sums Involving Fourier Coefficients of Maass Forms for $\mathrm{SL}(3,\mathbb Z)$ (1609.08826v1)
Published 28 Sep 2016 in math.NT
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.
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