Brandon Hanson

activity

20122023

most citedRefined Estimates Concerning Sumsets Contained in the Roots of Unity

30 citations · 59 across the 14 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.CO2014★ 19 cited

On distinct perpendicular bisectors and pinned distances in finite fields

Brandon Hanson, Ben Lund, Oliver Roche-Newton

Given a set of points $P \subset F_{q}^{2}$ such that $∣ P ∣ \geq q^{3/2}$ it is established that $∣ P ∣$ determines $Ω (q^{2})$ distinct perpendicular bisectors. It is also proven tha…

math.NT2014★ 2 cited

Character sums over Bohr sets

Brandon Hanson

We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to classical character sum bounds of Polya-Vinogradov and Burgess. These es…