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math.CO2025
Sphere intersections and incidences over finite fields
Doowon Koh, Ben Lund, Chuandong Xu +1
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 ob…
math.CO2025
-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
We investigate -Diophantine sets over finite fields via new explicit constructions of families of quasi-random hypergraphs from multivariate polynomials. In particular, our cons…