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

Brendan Murphy, Giorgis Petridis

Research output: Contribution to journalArticle (Academic Journal)peer-review

11 Citations (Scopus)


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


  • math.CO

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