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A Point-Conic Incidence Bound and Applications over 𝔽_p
[article]
2022
arXiv
pre-print
In this paper, we prove the first incidence bound for points and conics over prime fields. As applications, we prove new results on expansion of bivariate polynomial images and on certain variations of distinct distances problems. These include new lower bounds on the number of pinned algebraic distances as well as improvements of results of Koh and Sun (2014) and Shparlinski (2006) on the size of the distance set formed by two large subsets of finite dimensional vector spaces over finite
arXiv:2111.04072v2
fatcat:kotc6q5z6rcclok32abuhtwfby