3 citations · 6 across the 13 of their papers we have counts for
16 papers
On the rank of hypergeometric sheaves on higher dimensional tori
Antonio Rojas-León
We prove an explicit formula for the generic rank of hypergeometric perverse sheaves on higher dimensional tori over a finite field, as defined by Gabber and Loeser. This allows to…
Finite monodromy of some two-parameter families of exponential sums
Francisco García-Cortés, Antonio Rojas-León
We determine the set of polynomials , where is a finite field, such that the local system on which parametrizes the family of exponential sums $(s…
An effective criterion for finite monodromy of -adic sheaves
Antonio Rojas-León
We provide an effective version of Katz' criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field,…
Equidistribution and independence of Gauss sums
Antonio Rojas-León
We prove a general independent equidistribution result for Gauss sums associated to monomials in variable multiplicative characters over a finite field, which generalizes s…
On a generalization of Jacobi sums
Antonio Rojas-León
We prove an estimate for multi-variable multiplicative character sums over affine subspaces of , which generalize the well known estimates for both classical Jacobi…
On some conjectures on Generalized quadratic Gauss sums and related problems
Nilanjan Bag, Antonio Rojas-León, Zhang Wenpeng
The main purpose of this article is to study higher power mean values of generalized quadratic Gauss sums using estimates for character sums, analytic method and algebraic geometri…