An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory
Combinatorics
2023-03-02 v1 Number Theory
Abstract
The main purpose of this paper is to prove that the point-line incidence bound due to Vinh (2011) over arbitrary finite fields can be improved in certain ranges by using tools from the VC-dimension theory. As consequences, a number of applications will be discussed in detail.
Cite
@article{arxiv.2303.00330,
title = {An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory},
author = {Alex Iosevich and Thang Pham and Steven Senger and Michael Tait},
journal= {arXiv preprint arXiv:2303.00330},
year = {2023}
}
Comments
14 pages