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math.NT2006
On the Structure of Sets with Few Three-Term Arithmetic Progressions
Ernie Croot
Fix a density d in (0,1], and let F_p^n be a finite field, where we think of p fixed and n tending to infinity. Let S be any subset of F_p^n having the minimal number of three-term…
math.NT2006★ 2 cited
On the Decay of the Fourier Transform and Three Term Arithmetic Progressions
Ernie Croot
In this paper we prove a basic theorem which says that if f : F_p^n -> [0,1] has the property that ||f^||_(1/3) is not too ``large''(actually, it also holds for quasinorms 1/2-δin…