Ioannis Kousek

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20242026

most citedAsymmetric infinite sumsets in large sets of integers

1 citations · 1 across the 8 of their papers we have counts for

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math.CO2026

Sharp density conditions for infinite $B + B$ sumsets in abelian groups

Ioannis Kousek

Motivated by recent results \cite{charamaras_kousek_mountakis_radic2025BBingroups} on infinite sumsets of the form $B + B = {b_{1} + b_{2} : b_{1}, b_{2} \in B}$ in large subsets of abelian groups…

math.CO2024

Revisiting sums and products in countable and finite fields

Ioannis Kousek

We establish a polynomial ergodic theorem for actions of the affine group of a countable field $K$ . As an application, we deduce--via a variant of Furstenberg's correspondence prin…

Sharp density conditions for infinite B+B sumsets in abelian groups

Revisiting sums and products in countable and finite fields

Sharp density conditions for infinite $B + B$ sumsets in abelian groups