Brandon Hanson

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20122021

most citedConvexity, Superquadratic Growth, and Dot Products

1 citations · 1 across the 3 of their papers we have counts for

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math.CO2021★ 1 cited

Convexity, Superquadratic Growth, and Dot Products

Brandon Hanson, Oliver Roche-Newton, Steven Senger

Let $P \subset R^{2}$ be a point set with cardinality $N$ . We give an improved bound for the number of dot products determined by $P$ , proving that, \[ |\{ p \cdot q :p,q \in…

math.CO2019

Long regularly-spaced and convex sequences in dense sets of integers

Brandon Hanson

Let A be a set of integers dense in a finite interval. We establish upper and lower bounds for the longest regularly-spaced and convex subsets of A and of A-A.