Máte Matolcsi

works on

diophantine approximation 1 explicit constructions 1 hyperbolic distance 1 littlewood's conjecture 1 unit cube 1

From the 1 of 5 linked papers with an AI index.

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math.CO2026

Improved bounds for the double cap conjecture

Domonkos Czifra, Ãkos DÃºcz, MÃ¡tÃ© Matolcsi +2

In 1974, Witsenhausen asked for the maximum possible density $I^\pm_{n}$ of a measurable subset $A$ of the unit sphere $S^{n - 1} \subset R^{n}$ such that $A$ contains no p…

math.CO2025

A nonexistence criterion and new constructions for Butson Hadamard matrices

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.CO2025

Triplets of Mutually Unbiased Bases

MÃ¡te Matolcsi, Ãkos K. Matszangosz, DÃ¡niel 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…