4 papers · 1 filter
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…
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| \…
Additive bases with coefficients of newforms
Victor Cuauhtemoc Garcia, Florin Nicolae
Let be a normalized Hecke eigenform in with integer Fourier coefficients. We prove that there exists a const…
On the distribution of sparse sequences in prime fields and applications
Victor C. Garcia
In the present paper we investigate distributional properties of sparse sequences modulo almost all prime numbers. We obtain new results for a wide class of sparse sequences which…