On Fourth and Higher Moments of Short Exponential Sums Related to Cusp Forms
Number Theory
2019-09-23 v1
Abstract
We obtain upper bounds for the fourth and higher moments of short exponential sums involving Fourier coefficients of holomorphic cusp forms twisted by rational additive twists with small denominators.
Keywords
Cite
@article{arxiv.1909.09497,
title = {On Fourth and Higher Moments of Short Exponential Sums Related to Cusp Forms},
author = {Anne-Maria Ernvall-Hytönen and Esa V. Vesalainen},
journal= {arXiv preprint arXiv:1909.09497},
year = {2019}
}