Resonances and $\Omega$-results for Exponential Sums Related to Maass Forms for $\mathrm{SL}(n,\mathbb Z)$
Number Theory
2014-08-07 v2
Abstract
We obtain resonances for short exponential sums involving Fourier coefficients of Maass forms for . This involves deriving asymptotics for the integrals appearing in the Voronoi summation formula. As an application, we also prove an -result for short sums of Fourier coefficients.
Keywords
Cite
@article{arxiv.1405.7190,
title = {Resonances and $\Omega$-results for Exponential Sums Related to Maass Forms for $\mathrm{SL}(n,\mathbb Z)$},
author = {Anne-Maria Ernvall-Hytönen and Jesse Jääsaari and Esa V. Vesalainen},
journal= {arXiv preprint arXiv:1405.7190},
year = {2014}
}