diophantine approximation 1explicit constructions 1hyperbolic distance 1littlewood's conjecture 1unit cube 1
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math.NT2026
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…
math.NT2025
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…