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This article is cited in 1 scientific paper (total in 1 paper)
Structure theorems in additive combinatorics
I. D. Shkredovab a Steklov Mathematical Institute of Russian Academy of Sciences
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute)
Abstract:
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.
Received: 27.08.2014
Citation:
I. D. Shkredov, “Structure theorems in additive combinatorics”, Russian Math. Surveys, 70:1 (2015), 113–163
Linking options:
https://www.mathnet.ru/eng/rm9647https://doi.org/10.1070/RM2015v070n01ABEH004938 https://www.mathnet.ru/eng/rm/v70/i1/p123
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Abstract page: | 1019 | Russian version PDF: | 485 | English version PDF: | 66 | References: | 71 | First page: | 67 |
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