From the 1 of 5 linked papers with an AI index.
5 papers
On a question of Gowers related to Littlewood's conjecture
Frederik Broucke, Máté Matolcsi, Szilárd Gy. Révész
The authors construct explicitly many points in the unit cube whose pairwise hyperbolic distances are large, answering a question posed by Gowers and showing that his proposed appr…
Improved bounds for the double cap conjecture
Domonkos Czifra, Ãkos Dúcz, Máté Matolcsi +2
In 1974, Witsenhausen asked for the maximum possible density of a measurable subset of the unit sphere such that contains no p…
A nonexistence criterion and new constructions for Butson Hadamard matrices
Domonkos Czifra, Máté Matolcsi, Ferenc SzöllÅsi
Based on the concept of positive definite functions on finite groups, we present a new necessary condition for the existence of Butson Hadamard matrices . We use this cond…
On the density of Kravitz sets
Vsevolod Lev, Máté Matolcsi, Péter Pál Pach +1
We show that for a subset of the cyclic group of prime order , if the sumset is not the whole group, then . Besides combinatorial arguments, we…
Triplets of Mutually Unbiased Bases
Máte Matolcsi, Ãkos K. Matszangosz, Dániel Varga +1
We initiate a systematic study of triplets of mutually unbiased bases (MUBs). We show that in each MUB-triplet is characterized by a object that…