Máte Matolcsi

collaborators

3 papers

math.CO2025

A nonexistence criterion and new constructions for Butson Hadamard matrices

Domonkos Czifra, Máté Matolcsi, Ferenc Szöllősi

Based on the concept of positive definite functions on finite groups, we present a new necessary condition for the existence of Butson Hadamard matrices $B H (n, q)$ . We use this cond…

math.NT2025

On the density of Kravitz sets

Vsevolod Lev, Máté Matolcsi, Péter Pál Pach +1

We show that for a subset $A$ of the cyclic group of prime order $p > 3$ , if the sumset $A + A - 2 A$ is not the whole group, then $∣ A ∣ \leq \frac{2}{7} p$ . Besides combinatorial arguments, we…

math.CO2025

Triplets of Mutually Unbiased Bases

Máte Matolcsi, Ákos K. Matszangosz, Dániel Varga +1

We initiate a systematic study of triplets of mutually unbiased bases (MUBs). We show that in $C^{d}$ each MUB-triplet is characterized by a $d \times d \times d$ object that…