An improved incidence bound over fields of prime order

Mathematics – Combinatorics

Scientific paper

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10 pages, some typos corrected and a couple of points expanded on in v2

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Scientific paper

Abstract

Let P be a set of points and $L$ a set of lines in (F_p)^2, with |P|,|L|\leq
N and Nincidences for some absolute constant C. This improves by an order of magnitude
on the previously best-known bound of C N^(3/2 - 1/10678).

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