Non-commutative methods in additive combinatorics and number theory

被引：0
|
作者：
Shkredov, I. D. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
RUSSIAN MATHEMATICAL SURVEYS | 2021年 / 76卷 / 06期
基金：
俄罗斯科学基金会;
关键词：
number theory; additive combinatorics; Zaremba's conjecture; growth in groups; affine sieve; HAUSDORFF DIMENSION; APPROXIMATE GROUPS; FREIMANS THEOREM; BILINEAR-FORMS; SPECTRAL GAP; GROWTH; SUMS; KLOOSTERMAN; PRODUCTS; SETS;
D O I：
10.1070/RM10029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：1065 / 1122
页数：58
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