Exponential sums in prime fields for modular forms

Published 30 Jul 2020 in math.NT | (2007.15482v2)

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.

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