I. D. Shkredov, “Structure theorems in additive combinatorics”, Uspekhi Mat. Nauk, 2015, Volume 70, Issue 1(421),Pages <nobr>123

This article is cited in 1 paper

Structure theorems in additive combinatorics

I. D. Shkredov^ab

^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.

UDC: 511.34

MSC: Primary 11B30; Secondary 11B13, 11P70

Received: 27.08.2014

DOI: 10.4213/rm9647