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arXiv · 2007.15482

Exponential sums in prime fields for modular forms

Jitendra Bajpai·Subham Bhakta·Victor C. Garcia
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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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Jitendra Bajpai, Subham Bhakta, Victor C. Garcia. 2020-07-30. Exponential sums in prime fields for modular forms. https://arxiv.org/abs/2007.15482

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