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math.NT2020
Exponential sums in prime fields for modular forms
Jitendra Bajpai, Subham Bhakta, Victor C. Garcia
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. Th…
math.NT2020
New estimates for exponential sums over multiplicative subgroups and intervals in prime fields
Daniel di Benedetto, Moubariz Z. Garaev, Víctor C. García +3
Let be a multiplicative subgroup of of order . We show that $$ \max_{(a,p)=1}\left|\sum_{x\in {\mathcal H}} {\mathbf{\,e}}_p(ax)\right| \…