Three-dimensional exponential sums under constant perturbation
Number Theory
2023-02-14 v1
Abstract
In this paper, by generalizing Bombieri and Iwaniec's double large sieve inequality, we obtain an estimation on a type of three-dimensional exponential sums with constant perturbation. As an application of our estimation, we obtain an asymptotic formula for a sum involving the Mangoldt function and the integral part function. This type of sum was originally studied by Bordelles-Dai-Heyman-Pan-Shparlinski.
Keywords
Cite
@article{arxiv.2302.05870,
title = {Three-dimensional exponential sums under constant perturbation},
author = {Jiamin Li and Jing Ma},
journal= {arXiv preprint arXiv:2302.05870},
year = {2023}
}