Littlewood's problem for sets with multidimensional structure
Number Theory
2020-06-19 v2 Classical Analysis and ODEs
Abstract
We give -norm estimates for exponential sums of a finite sets consisting of integers or lattice points. Under the assumption that possesses sufficient multidimensional structure, our estimates are stronger than those of McGehee-Pigno-Smith and Konyagin. These theorems improve upon past work of Petridis.
Cite
@article{arxiv.2003.01561,
title = {Littlewood's problem for sets with multidimensional structure},
author = {Brandon Hanson},
journal= {arXiv preprint arXiv:2003.01561},
year = {2020}
}
Comments
To appear in IMRN. Corrected explicit constants from a previous version