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On sums of Szemer\'edi--Trotter sets

Combinatorics 2014-10-22 v1 Number Theory

Abstract

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

Keywords

Cite

@article{arxiv.1410.5662,
  title  = {On sums of Szemer\'edi--Trotter sets},
  author = {Ilya D. Shkredov},
  journal= {arXiv preprint arXiv:1410.5662},
  year   = {2014}
}

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12 pages