Geodesic
Structure theorems in additive combinatorics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 70 (2015) no. 1, pp. 113-163

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Several structure results of additive combinatorics are considered. Classical and modern problems of combinatorial number theory, higher-order Fourier analysis, inverse theorems for Gowers norms, higher energies, and the relationship between combinatorial and analytic number theory are discussed. Bibliography: 149 titles.
Keywords: additive combinatorics, sets with the small doubling property, Gowers norms, Fourier analysis. 
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I. D. Shkredov. Structure theorems in additive combinatorics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 70 (2015) no. 1, pp. 113-163. http://geodesic.mathdoc.fr/item/RM_2015_70_1_a3/