19 citations · 131 across the 42 of their papers we have counts for
5 papers · 1 filter
The number of rational points of hyperelliptic curves over subsets of finite fields
Kristina Nelson, Jozsef Solymosi, Foster Tom +1
We prove two related concentration inequalities concerning the number of rational points of hyperelliptic curves over subsets of a finite field. In particular, we investigate the p…
An application of kissing numbers in sum-product estimates
Jozsef Solymosi, Ching Wong
The boundedness of the kissing numbers of convex bodies has been known to Hadwiger for long. We present an application of it to the sum-product estimate $$\max(|\mathcal{A}+\mathca…
Intersecting hexagons in 3-space
Jozsef Solymosi, Ching Wong
Two hexagons in the space are said to intersect heavily if their intersection consists of at least one common vertex as well as an interior point. We show that the number of hexago…
On the number of points in general position in the plane
Jozsef Balogh, Jozsef Solymosi
In this paper we study some Erdos type problems in discrete geometry. Our main result is that we show that there is a planar point set of n points such that no four are collinear b…
On the Existence of Ordinary Triangles
Radoslav Fulek, Hossein Nassajian Mojarrad, Márton Naszódi +3
Let be a finite point set in the plane. A \emph{-ordinary triangle} in is a subset of consisting of three non-collinear points such that each of the three lines dete…