Non-commutative methods in additive combinatorics and number theory

IF 1.4 4区数学 Q1 MATHEMATICS

Russian Mathematical Surveys Pub Date : 2021-01-01 DOI:10.1070/RM10029

I. Shkredov

引用次数: 1

Abstract

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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加性组合与数论中的非交换方法

该调查致力于非阿贝尔群的增长在数论和加性组合中的一些问题中的应用。我们讨论了Zaremba猜想、和积理论、入射几何、仿射筛和其他一些问题。参考书目:149篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Mathematical Surveys 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Mathematical Surveys is a high-prestige journal covering a wide area of mathematics. The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The survey articles on current trends in mathematics are generally written by leading experts in the field at the request of the Editorial Board.