Exponential sums in prime fields for modular forms
Number Theory
2020-11-24 v2
Abstract
The main objective of this article is to study the exponential sums associated to Fourier coefficients of modular forms supported at numbers having a fixed set of prime factors. This is achieved by establishing an improvement on Shparlinski's bound for exponential sums attached to certain recurrence sequences over finite fields.
Cite
@article{arxiv.2007.15482,
title = {Exponential sums in prime fields for modular forms},
author = {Jitendra Bajpai and Subham Bhakta and Victor C. Garcia},
journal= {arXiv preprint arXiv:2007.15482},
year = {2020}
}
Comments
32 pages