Ben Green

activity

20032026

most citedA quantitative version of the idempotent theorem in harmonic analysis

43 citations · 51 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.CO2026

The proportion of permutations fixing a $k$ -set

Ben Green, Mehtaab Sawhney

Denote by $p (k)$ the limit, as $n \to \infty$ , of the probability that a random permutation on a set of size $n$ has an invariant set of size $k$ . We give an asymptotic for…

math.NT2026

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 $A \subset Z$ is a finite set of integers with $∣ A ∣ = N$ then $\…

The proportion of permutations fixing a k-set

Remarks on the inverse Littlewood conjecture

The proportion of permutations fixing a $k$ -set