Multiple Exponential and Character Sums with Monomials
Number Theory
2019-02-20 v1
Abstract
We obtain new bounds of multivariate exponential sums with monomials, when the variables run over rather short intervals. Furthermore, we use the same method to derive estimates on similar sums with multiplicative characters to which previously known methods do not apply. In particular, in the multiplicative characters modulo a prime we break the barrier of for ranges of individual variables.
Cite
@article{arxiv.1309.0324,
title = {Multiple Exponential and Character Sums with Monomials},
author = {Igor Shparlinski},
journal= {arXiv preprint arXiv:1309.0324},
year = {2019}
}