20 citations · 33 across the 4 of their papers we have counts for
4 papers
A short proof of Rudnev's point-plane incidence bound
Frank de Zeeuw
In this note we give a shortened proof of a theorem of Rudnev, which bounds the number of incidences between points and planes over an arbitrary field. Rudnev's proof uses a map th…
Three-variable expanding polynomials and higher-dimensional distinct distances
Thang Pham, Le Anh Vinh, Frank de Zeeuw
We determine which quadratic polynomials in three variables are expanders over an arbitrary field . More precisely, we prove that for a quadratic polynomial $f\in \math…
Bisector energy and few distinct distances
Ben Lund, Adam Sheffer, Frank de Zeeuw
We introduce the bisector energy of an -point set in , defined as the number of quadruples from such that and determine the same perpen…
Distinct values of bilinear forms on algebraic curves
Claudiu Valculescu, Frank de Zeeuw
Let be a bilinear form on pairs of points in the complex plane, of the form , for an invertible complex matrix . We prove that any finite set …