5 papers
On a question of Gowers related to Littlewood's conjecture
Frederik Broucke, Máté Matolcsi, Szilárd Gy. Révész
In a blogpost in 2009, Gowers raised a possible approach to Littlewood's conjecture in Diophantine approximation, leading to a question about the existence of sufficiently many poi…
Improved bounds for the double cap conjecture
Domonkos Czifra, Ákos 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 pa…
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 . 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, Ákos 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…