Geodesic
Examples of sets with large trigonometric sums
Sbornik. Mathematics, Tome 198 (2007) no. 12, pp. 1805-1838

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Let $A$ be a subset of $\mathbb Z/N\mathbb Z$, and let $R$ be a set of large Fourier coefficients of the set $A$. The question on the structure of $R$ is related to inverse problems of additive number theory. Properties of $R$ were studied by Chang, Green, and this author. The present paper is concerned with new results on sets of large Fourier coefficients. In addition, examples demonstrating the definitive character of earlier results are presented. Bibliography: 27 titles. 
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     author = {I. D. Shkredov},
     title = {Examples of sets with large trigonometric sums},
     journal = {Sbornik. Mathematics},
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     number = {12},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_12_a5/}
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I. D. Shkredov. Examples of sets with large trigonometric sums. Sbornik. Mathematics, Tome 198 (2007) no. 12, pp. 1805-1838. http://geodesic.mathdoc.fr/item/SM_2007_198_12_a5/