RUS  ENG
Full version
JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2015 Volume 289, Pages 318–327 (Mi tm3616)
This article is cited in 20 papers

On sums of Szemerédi–Trotter sets

I. D. Shkredovab

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We prove new general results on sumsets and difference sets for sets of the Szemerédi–Trotter type. This family includes convex sets, sets with small multiplicative doubling, images of sets under convex/concave maps and others.

UDC: 511.34+511.212

Received: January 15, 2015

DOI: 10.1134/S0371968515020181


 English version: Proceedings of the Steklov Institute of Mathematics, 2015, 289, 300–309

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025