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Apr 30, 2015 at 8:47 comment added Oliver Roche-Newton Nice! Or, saying the same thing in a slightly different language, this proves that $|\{(a,b,c,d,e,f) \in A^6 : a+cb=d+ef\}| \leq |A|^2E^+(A)$, where $E^+(A)$ is the additive energy of $A$.
Apr 29, 2015 at 16:09 history answered Terry Tao CC BY-SA 3.0