Gergely Kiss

activity

20112026

most citedOn the discrete Fuglede and Pompeiu problems

22 citations · 77 across the 38 of their papers we have counts for

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5 papers · 1 filter

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.CO2024

Functional tilings and the Coven-Meyerowitz tiling conditions

Gergely Kiss, Itay Londner, Máté Matolcsi +1

Coven and Meyerowitz formulated two conditions which have since been conjectured to characterize all finite sets that tile the integers by translation. By periodicity, this conject…

math.CO2024

A lonely weak tile

Gergely Kiss, Itay Londner, Máté Matolcsi +1

The notion of weak tiling was a key ingredient in the proof of Fuglede's spectral set conjecture for convex bodies \cite{conv}, due to the fact that every spectral set tiles its co…

math.CO2022

Tiling and weak tiling in $(Z_{p})^{d}$

Gergely Kiss, Dávid Matolcsi, Máté Matolcsi +1

We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary $p$ -groups $(Z_{p})^{d}$ , we introduce an averaging pro…

math.CO2021

Special directions on the finite affine plane

Gergely Kiss, Gábor Somlai

In this paper we study the number of special directions of sets of cardinality divisible by $p$ on a finite plane of characteristic $p$ , where $p$ is a prime. We show that there is…

Cylinder type and p-divisible sets in Fp3​

Functional tilings and the Coven-Meyerowitz tiling conditions

A lonely weak tile

Tiling and weak tiling in (Zp​)d

Special directions on the finite affine plane

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

Tiling and weak tiling in $(Z_{p})^{d}$