19 citations · 82 across the 27 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.CO2018
A Construction for Difference Sets with Local Properties
Sara Fish, Ben Lund, Adam Sheffer
We construct finite sets of real numbers that have a small difference set and strong local properties. In particular, we construct a set of real numbers such that $|A-A|=n^…
math.CO2018★ 7 cited
Bisectors and pinned distances
Ben Lund, Giorgis Petridis
We prove, under suitable conditions, a lower bound on the number of pinned distances determined by small subsets of two-dimensional vector spaces over fields. For finite subsets of…
math.CO2018★ 4 cited
An improved sum-product bound for quaternions
Abdul Basit, Ben Lund
We show that there exists an absolute constant , such that, for any finite set of quaternions, \[ \max\{|A+A, |AA| \} \gtrsim |A|^{4/3 + c}. \] This generalizes a sum-pr…