A point-line incidence identity in finite fields, and applications

Brendan Murphy, Giorgis Petridis

Research output: Contribution to journalArticle (Academic Journal)

Abstract

Let $E \subseteq \mathbb{F}_q^2$ be a set in the 2-dimensional vector space over a finite field with $q$ elements. We prove an identity for the second moment of its incidence function and deduce a variety of existing results from the literature, not all naturally associated with lines in $\mathbb{F}_q^2$, in a unified and elementary way.
Original languageUndefined/Unknown
JournalMoscow Journal of Combinatorics and Number Theory,
Publication statusPublished - 15 Jan 2016

Bibliographical note

30 pages

Keywords

  • math.CO

Cite this