European Journal of CombinatoricsVolume 52, Part A, February 2016, Pages 136-145An improved incidence bound for fields of prime orderAuthor links open overlay panelTimothy G.F. JonesShow moreShareCitehttps://doi.org/10.1016/j.ejc.2015.09.004Get rights and contentUnder an Elsevier user licenseopen archiveAbstractLet P be a set of points and L a set of lines in Fp2, with |P|,|L|≤N and N<p. We show that P and L generate no more than CN32−1806+o(1) incidences for some absolute constant C. This improves on the previously best-known bound of CN32−110,678.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 2015 Published by Elsevier Ltd.