T. Sanders

activity

20062026

most citedOn the Bogolyubov-Ruzsa lemma

157 citations · 642 across the 35 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

2 papers · 2 filters

math.NT2015★ 5 cited

Fourier uniformity on subspaces

Ben Green, Tom Sanders

Let $F$ be a fixed finite field, and let $A \subset F^{n}$ . It is a well-known fact that there is a subspace $V \leq F^{n}$ , $\mbox{codim} V \ll_δ 1$, and an…

math.NT2015★ 19 cited

Monochromatic sums and products

Ben Green, Tom Sanders

Suppose that $F_{p}$ is coloured with $r$ colours. Then there is some colour class containing at least $c_{r} p^{2}$ quadruples of the form $(x, y, x + y, x y)$ .