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.
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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Vol. 289, pp. 318–327.
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Shkredov, I.D. On sums of Szemerédi-Trotter sets. Proc. Steklov Inst. Math. 289, 300–309 (2015). https://doi.org/10.1134/S0081543815040185
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DOI: https://doi.org/10.1134/S0081543815040185