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

Esa V. Vesalainen; Jesse J\"a\"asaari

arxiv: 1609.08826 · v1 · pith:FNF6JCUSnew · submitted 2016-09-28 · 🧮 math.NT

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

Jesse J\"a\"asaari , Esa V. Vesalainen This is my paper

classification 🧮 math.NT

keywords sumscoefficientsestimateformsfouriermaassmathbbmathrm

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

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