On sums of Szemerédi--Trotter sets

Abstract

We prove new general results on sumsets of sets having Szemerédi--Trotter type. This family includes convex sets, sets with small multiplicative doubling, images of sets under convex/concave maps and others.

arXiv comment12 pages

References in corpus (2)

• Some new inequalities in additive combinatorics
• On a theorem of Schoen and Shkredov on sumsets of convex sets

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