V. C. García

collaborators

3 papers

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 $H$ be a multiplicative subgroup of $F_{p}^{*}$ of order $H > p^{1/4}$ . We show that $$ \max_{(a,p)=1}\left|\sum_{x\in {\mathcal H}} {\mathbf{\,e}}_p(ax)\right| \…

math.NT2017

Additive bases with coefficients of newforms

Victor Cuauhtemoc Garcia, Florin Nicolae

Let $f (z) = \sum_{n = 1}^{\infty} a (n) e^{2 π in z}$ be a normalized Hecke eigenform in $S_{2 k}^{new} (Γ_{0} (N))$ with integer Fourier coefficients. We prove that there exists a const…