Ioannis Kousek

collaborators

3 papers

math.DS2025

On density analogs of Hindman's finite sums theorem

Felipe Hernández, Ioannis Kousek, Tristán Radić

For any set $A$ of natural numbers with positive upper Banach density, we show the existence of an infinite set $B$ and sequences $(t_{k})_{k \in N}, (s_{k})_{k \in N}$ …

math.DS2025

Infinite unrestricted sumsets in subsets of abelian groups with large density

Dimitrios Charamaras, Ioannis Kousek, Andreas Mountakis +1

Let $(G, +)$ be a countable abelian group such that the subgroup ${g + g : g \in G}$ has finite index and the doubling map $g \mapsto g + g$ has finite kernel. We establish lower bo…

math.DS2025

Asymmetric infinite sumsets in large sets of integers

Ioannis Kousek

We show that for any set $A \subset N$ with positive upper density and any $ℓ, m \in N$ , there exist an infinite set $B \subset N$ and some $t\in \mathb…