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Publication - Dr Brendan Murphy

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

    Citation

    Murphy, B & Petridis, G, 2016, ‘A point-line incidence identity in finite fields, and applications’. Moscow Journal of Combinatorics and Number Theory,.

    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.

    Full details in the University publications repository