arXiv subjects

Victor C. Garcia

Publications and source records attributed to Victor C. Garcia.

2 recordsLinked to original sources

arXiv2020

Exponential sums in prime fields for modular forms

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.

math.NT↗

arXiv2010

On the distribution of sparse sequences in prime fields and applications

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 in particular find applications on additive problems and the discrete Littlewood problem related to lower bound estimates of the $L_1$-norm of trigonometric sums.

math.NT↗