43 citations · 51 across the 5 of their papers we have counts for
5 papers
The proportion of permutations fixing a -set
Ben Green, Mehtaab Sawhney
Denote by the limit, as , of the probability that a random permutation on a set of size has an invariant set of size . We give an asymptotic for…
Remarks on the inverse Littlewood conjecture
Thomas F. Bloom, Ben Green
The Littlewood conjecture, proven by Konyagin and McGehee-Pigno-Smith in the 1980s, states that if is a finite set of integers with then $\…
Covering integers by
Ben Green, Kannan Soundararajan
What proportion of integers may be expressed as for some , with integers? Writing as $(\log N)^{\log 2} 2^{α\sqrt{\log \log N…
A quantitative version of the idempotent theorem in harmonic analysis
Ben Green, Tom Sanders
Suppose that G is a locally compact abelian group, and write M(G) for the algebra of bounded, regular, complex-valued measures under convolution. A measure μin M(G) is said to be i…
On the Hardy-Littlewood majorant problem
Ben Green, Imre Ruzsa
Consider a trigonometric polynomial f of degree N, and associate to it the polynomial F in which each coefficient of f is replaced by its absolute value. F is called the majorant o…