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.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…

math.DS2024

Infinite unrestricted sumsets of the form $B + B$ in sets with large density

Ioannis Kousek, Tristán Radić

For a set $A \subset N$ we characterize in terms of its density when there exists an infinite set $B \subset N$ and $t \in {0, 1}$ such that $B + B \subset A - t$ , w…

Revisiting sums and products in countable and finite fields

Infinite unrestricted sumsets of the form B+B in sets with large density

Infinite unrestricted sumsets of the form $B + B$ in sets with large density