Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms
Number Theory
2014-07-15 v2
Abstract
We estimate the mean square of a short exponential sum involving Fourier coefficients of a cusp form with a linear twist, a smooth weight function, and a relatively short averaging interval.
Keywords
Cite
@article{arxiv.1311.3552,
title = {Mean square estimate for relatively short exponential sums involving Fourier coefficients of cusp forms},
author = {Anne-Maria Ernvall-Hytönen},
journal= {arXiv preprint arXiv:1311.3552},
year = {2014}
}
Comments
One lemma was wrong, so that is replaced by a different approach, and thereby, also the result is improved