113 citations · 646 across the 78 of their papers we have counts for
78 papers
On Alweiss's example for multiple recurrence
Ben Green
In this expository note we discuss the example of R.~Alweiss giving a construction of a set which intersects every nil-Bohr set, but which is not a set of $2…
Sumsets and entropy revisited
Ben Green, Freddie Manners, Terence Tao
The entropic doubling of a random variable taking values in an abelian group is a variant of the notion of the doubling constant of a fin…
On Sárközy's theorem for shifted primes
Ben Green
Suppose that has no two elements differing by , prime. Then .
Quadratic forms in 8 prime variables
Ben Green
We give an asymptotic for the number of prime solutions to , subject to a mild non-degeneracy condition on the homogeneous quadratic form . The argument i…
Lower bounds for corner-free sets
Ben Green
A corner is a set of three points in of the form with . We show that for infinitely many there is a set $A \subset [N]…
New lower bounds for van der Waerden numbers
Ben Green
We show that there is a red-blue colouring of with no blue 3-term arithmetic progression and no red arithmetic progression of length .…