Brandon Hanson

activity

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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Showing 2020Show all

2 papers · 1 filter

math.NT2020

Higher convexity and iterated sum sets

Brandon Hanson, Oliver Roche-Newton, Misha Rudnev

Let $f$ be a smooth real function with strictly monotone first $k$ derivatives. We show that for a finite set $A$ , with $∣ A + A ∣ \leq K ∣ A ∣$ , $|2^kf(A)-(2^k-1)f(A)|\gg_k |A|^{k+1-o(1)}…

math.NT2020

Littlewood's problem for sets with multidimensional structure

Brandon Hanson

We give $L^{1}$ -norm estimates for exponential sums of a finite sets $A$ consisting of integers or lattice points. Under the assumption that $A$ possesses sufficient multidimensional…