Geodesic
Non-commutative methods in additive combinatorics and number theory
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 6, pp. 1065-1122

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The survey is devoted to applications of growth in non-Abelian groups to a number of problems in number theory and additive combinatorics. We discuss Zaremba's conjecture, sum-product theory, incidence geometry, the affine sieve, and some other questions. Bibliography: 149 titles.
Keywords: number theory, additive combinatorics, growth in groups, affine sieve.
Mots-clés : Zaremba's conjecture 
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I. D. Shkredov. Non-commutative methods in additive combinatorics and number theory. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 6, pp. 1065-1122. http://geodesic.mathdoc.fr/item/RM_2021_76_6_a2/