Exponential sums in prime fields for modular forms
Jitendra Bajpai, Subham Bhakta, Victor Cuauhtemoc García · Research in Number Theory · 2022
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 linear recurrence sequences over finite fields.