The number of perpendicular bisectors determined by a subset of a plane over a finite field

Benjamin Lund
Rutgers University
Computer Science

I will show that a set of >>q^(3/2) points in F_q^2 (with q=3 mod 4) determines a constant fraction of all possible perpendicular bisectors. This is joint work with Alex Iosevich, Brandon Hanson, and Oliver Roche-Newton.

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