Non-commutative methods in additive combinatorics and number theory

Russian Mathematical Surveys - Tập 76 Số 6 - Trang 1065-1122 - 2021
Ilya D. Shkredov

Tóm tắt

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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