Sphere intersections and incidences over finite fields

Proceedings of the American Mathematical Society 2026

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Authors: Doowon Koh, Ben Lund, Chuandong Xu, Semin Yoo
DOI: 10.1090/proc/17630
Cited by: 0
References: 16

Abstract

We bound the number of incidences between points and spheres in finite vector spaces by bounding the sum of the number of points in the pairwise intersections of the spheres. We obtain new incidence bounds that are interesting when the number of spheres is not too large. Our approach also leads to an elementary proof of the Iosevich-Rudnev bound on the Erdős-Falconer distance problem in odd dimensions.

Fields of Study & Subjects

Limits and Structures in Graph Theory Advanced Combinatorial Mathematics Analytic Number Theory Research

Publication details

Journal / source
Proceedings of the American Mathematical Society
Publication date
28 January 2026
Language
EN