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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,…
math.NT2006
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…