William McClain

most citedOn an Argument of Shkredov on Two-Dimensional Corners

12 citations · 14 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2008★ 2 cited

Three Dimensional Corners: A Box Norm Proof

Michael T. Lacey, William McClain

In an additive group (G,+), a three-dimensional corner is the four points g, g+d(1,0,0), g+d(0,1,0), g+d(0,0,1), where g is in G^3, and d is a non-zero element of G. The Ramsey num…

math.CO2005★ 12 cited

On an Argument of Shkredov on Two-Dimensional Corners

Michael T Lacey, William McClain

Let $F_{2}^{n}$ be the finite field of cardinality $2^{n}$ . For all large $n$ , any subset $A \subset F_{2}^{n} \times F_{2}^{n}$ of cardinality \begin{equation*} \abs{A…