'Ad'am Mark'o

collaborators

3 papers

math.CO2026

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

Gergely Kiss, Ádám Markó, Zoltán Lóránt 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.NT2024

Degree gap of polynomials of small range sum

Ádám Markó, Gábor 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…

math.NT2024

New bound on small range sum polynomials of degree

Ádám Markó

The polynomials of degree $\frac{p - 1}{2}$ of range sum $p$ was determined in {\tt arXiv:2311.06136 [math.NT]} for large enough primes. We extend this result by reducing the lower b…

Cylinder type and p-divisible sets in Fp3​

Degree gap of polynomials of small range sum

New bound on small range sum polynomials of degree

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