O. Roche-Newton

activity

20112026

most citedNew results on sum-product type growth over fields

52 citations · 127 across the 37 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.CO2021

Additive and multiplicative Sidon sets

Oliver Roche-Newton, Audie Warren

We give a construction of a set $A \subset N$ such that any subset $A^{'} \subset A$ with $∣ A^{'} ∣ ≫ ∣ A ∣^{2/3}$ is neither an additive nor multiplicative Sidon set. In doing so…