Collinear triples and quadruples for Cartesian products in \mathbbF_p²

2016/10/18 by Petridis, Giorgis
#11B30 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.05620

Abstract

In this ote, which has been absorbed by arXiv1702.01003, we combine a recent point-line incidence bound of Stevens and de Zeeuw with an older lemma of Bourgain, Katz and Tao to bound the number of collinear triples and quadruples in a Cartesian product in \mathbbF_p².

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