On Sums Involving Fourier Coefficients of Maass Forms for $\mathrm{SL}(3,\mathbb Z)$
Number Theory
2016-09-29 v1
Abstract
We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for , and as an application obtain a pointwise estimate and a second moment estimate for the sums in question.
Keywords
Cite
@article{arxiv.1609.08826,
title = {On Sums Involving Fourier Coefficients of Maass Forms for $\mathrm{SL}(3,\mathbb Z)$},
author = {Jesse Jääsaari and Esa V. Vesalainen},
journal= {arXiv preprint arXiv:1609.08826},
year = {2016}
}