113 citations · 189 across the 18 of their papers we have counts for
4 papers · 1 filter
Linear Equations in Primes
Ben Green, Terence Tao
Consider a system Ψof non-constant affine-linear forms ψ_1,...,ψ_t: Z^d -> Z, no two of which are linearly dependent. Let N be a large integer, and let K be a convex subset of [-N,…
Montreal Lecture Notes on Quadratic Fourier Analysis
Ben Green
These are notes to accompany four lectures that I gave at the School on Additive Combinatorics, held in Montreal, Quebec between March 30th and April 5th 2006. My aim is to introdu…
Generalising the Hardy-Littlewood Method for Primes
Ben Green
The Hardy-Littlewood method is a well-known technique in analytic number theory. Among its spectacular applications are Vinogradov's 1937 result that every sufficiently large odd n…
On the Littlewood problem modulo a prime
Ben Green, Sergei Konyagin
Let p be a prime, and let f : Z/pZ -> R be a function with average value 0 and ||f||_A <= 1, where ||f||_A denotes the algebra norm (L^1 norm of the Fourier transform). Then f(x) i…