52 citations · 127 across the 37 of their papers we have counts for
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math.CO2012★ 2 cited
Improved bounds on the set A(A+1)
Timothy G. F. Jones, Oliver Roche-Newton
For a subset A of a field F, write A(A + 1) for the set {a(b + 1):a,b\in A}. We establish new estimates on the size of A(A+1) in the case where F is either a finite field of prime…
math.CO2012★ 5 cited
On the Minkowski distances and products of sum sets
Oliver Roche-Newton, Misha Rudnev
Given two points in the real plane, the signed area of the rectangle with the diagonal equals the square of the Minkowski distance between the points . We prove t…