M. Tiba

activity

20102025

most citedThe Erdős-Selfridge problem with square-free moduli

4 citations · 14 across the 23 of their papers we have counts for

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math.NT2020

Sets in $Z^{k}$ with doubling $2^{k} + δ$ are near convex progressions

Peter van Hintum, Hunter Spink, Marius Tiba

For $δ > 0$ sufficiently small and $A \subset Z^{k}$ with $∣ A + A ∣ \leq (2^{k} + δ) ∣ A ∣$ , we show either $A$ is covered by $m_{k} (δ)$ parallel hyperplanes, or satisfies $|\widehat{\operat…

math.NT2019★ 4 cited

The Erdős-Selfridge problem with square-free moduli

Paul Balister, Béla Bollobás, Robert Morris +2

A covering system is a finite collection of arithmetic progressions whose union is the set of integers. The study of covering systems with distinct moduli was initiated by Erdős in…

math.NT2018★ 1 cited

On the Erdős Covering Problem: the density of the uncovered set

Paul Balister, Béla Bollobás, Robert Morris +2

Since their introduction by Erdős in 1950, covering systems (that is, finite collections of arithmetic progressions that cover the integers) have been extensively studied, and nume…

Sets in Zk with doubling 2k+δ are near convex progressions

The Erdős-Selfridge problem with square-free moduli

On the Erdős Covering Problem: the density of the uncovered set

Sets in $Z^{k}$ with doubling $2^{k} + δ$ are near convex progressions