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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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 $\…

math.NT2024

Covering integers by $x^{2} + d y^{2}$

Ben Green, Kannan Soundararajan

What proportion of integers $n ⩽ N$ may be expressed as $x^{2} + d y^{2}$ for some $d ⩽ Δ$ , with $x, y$ integers? Writing $Δ$ as $(\log N)^{\log 2} 2^{α\sqrt{\log \log N…

Remarks on the inverse Littlewood conjecture

Covering integers by x2+dy2

Covering integers by $x^{2} + d y^{2}$