Geodesic
On sets of large trigonometric sums
Izvestiya. Mathematics , Tome 72 (2008) no. 1, pp. 149-168.

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We prove the existence of non-trivial solutions of the equation $r_1+r_2=r_3+r_4$, where $r_1$, $r_2$, $r_3$ and $r_4$ belong to the set $R$ of large Fourier coefficients of a certain subset $A$ of $\mathbb Z/N\mathbb Z$. This implies that $R$ has strong additive properties. We discuss generalizations and applications of the results obtained. 
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I. D. Shkredov. On sets of large trigonometric sums. Izvestiya. Mathematics , Tome 72 (2008) no. 1, pp. 149-168. http://geodesic.mathdoc.fr/item/IM2_2008_72_1_a7/

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