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arXiv:2007.15482 [math.NT]AbstractReferencesReviewsResources

Exponential sums in prime fields for modular forms

Jitendra Bajpai, Subham Bhakta, Victor C. Garcia

Published 2020-07-30Version 1

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.

Comments: 32 pages
Categories: math.NT
Subjects: 11F30, 11L07, 11P05, 11B37, 11F80
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