Brandon Hanson

activity

20122023

most citedConvexity, Superquadratic Growth, and Dot Products

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

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Showing 2021Show all

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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.NT2021

Higher Convexity and Iterated Second Moment Estimates

Peter J. Bradshaw, Brandon Hanson, Misha Rudnev

We prove bounds for the number of solutions to $a_{1} + \dots + a_{k} = a_{1}^{'} + \dots + a_{k}^{'}$ over $N$ -element sets of reals, which are sufficiently convex or near-convex. A near-conv…