Gábor Somlai

activity

20242026

collaborators

3 papers

math.CO2026

Cylinder type and $p$ -divisible sets in $F_{p}^{3}$

Gergely Kiss, ÃdÃ¡m MarkÃ³, ZoltÃ¡n LÃ³rÃ¡nt Nagy +1

A set of points $S \subseteq F_{p}^{n}$ is called \emph{ $p$ -divisible} if every affine hyperplane in $F_{p}^{n}$ intersects $S$ in $0 (mod p)$ points. The Strong Cylinder…

math.CO2025

The generalized trifference problem

Anurag Bishnoi, BartÅomiej Kielak, Benedek KovÃ¡cs +4

We study the problem of finding the largest number $T (n, m)$ of ternary vectors of length $n$ such that for any three distinct vectors there are at least $m$ coordinates where they…

math.NT2024

Degree gap of polynomials of small range sum

ÃdÃ¡m MarkÃ³, GÃ¡bor Somlai

Polynomials of degree $\frac{p - 1}{2}$ of range sum $p$ were determined by the second authors relying on a joint work of the authors by Kiss and Nagy. We prove that for large enough…

Cylinder type and p-divisible sets in Fp3​

The generalized trifference problem

Degree gap of polynomials of small range sum

Cylinder type and $p$ -divisible sets in $F_{p}^{3}$