52 citations · 127 across the 37 of their papers we have counts for
4 papers · 1 filter
Expanders with superquadratic growth
Antal Balog, Oliver Roche-Newton, Dmitry Zhelezov
We will prove several expanders with exponent strictly greater than . For any finite set , we prove the following six-variable expander results: \begin{alig…
Packing Sets
Oliver Roche-Newton, Ilya D. Shkredov, Arne Winterhof
For a given subset , we study the problem of finding a large packing set of , that is, a set such that . W…
On sets with few distinct distances
Oliver Roche-Newton
It is widely believed that point sets in the plane which determine few distinct distances must have some special structure. In particular, such sets are believed to be similar to a…
A new expander and improved bounds for
Oliver Roche-Newton
The main result in this paper concerns a new five-variable expander. It is proven that for any finite set of real numbers , $$|\{(a_1+a_2+a_3+a_4)^2+\log a_5 :a_1,a_2,a_3,a_4,a_…