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December 2017 On sums involving Fourier coefficients of Maass forms for $\mathrm{SL}(3,\mathbb Z)$
Jesse Jääsaari, Esa V. Vesalainen
Funct. Approx. Comment. Math. 57(2): 255-275 (December 2017). DOI: 10.7169/facm/1632

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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Jesse Jääsaari. Esa V. Vesalainen. "On sums involving Fourier coefficients of Maass forms for $\mathrm{SL}(3,\mathbb Z)$." Funct. Approx. Comment. Math. 57 (2) 255 - 275, December 2017. https://doi.org/10.7169/facm/1632

Information

Published: December 2017
First available in Project Euclid: 28 March 2017

zbMATH: 06864174
MathSciNet: MR3732898
Digital Object Identifier: 10.7169/facm/1632

Subjects:
Primary: 11L07
Secondary: 11F30, 11F37

Rights: Copyright © 2017 Adam Mickiewicz University

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Vol.57 • No. 2 • December 2017
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