Improved incidence bounds over arbitrary finite fields via the VC-dimension theory

Authors

• Steven Senger, Missouri State UniversityFollow
• Alex Iosevich, University of Rochester
• Thang Pham, Vietnam National University, Hanoi
• Michael Tait, Villanova University

Abstract

In this paper, we use tools from the theory of VC-dimension to study incidence problems over arbitrary finite fields. More precisely, we obtain improvements of Vinh's result (2011) in three dimensions and a result on the intersection of planes.

Department(s)

Mathematics

Document Type

Article

DOI

10.1016/j.ejc.2024.103928

Publication Date

5-1-2024

Recommended Citation

Senger, Steven; Iosevich, Alex; Pham, Thang; and Tait, Michael, "Improved incidence bounds over arbitrary finite fields via the VC-dimension theory" (2024). Faculty Scholarship. 379.
https://bearworks.missouristate.edu/articles00/379

Journal Title

European Journal of Combinatorics