paper

Exponential sums in prime fields for modular forms

arXiv:2007.15482

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.

32 pages

Exponential sums in prime fields for modular forms · wovepaper