P. Nowakowski

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20232025

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math.CA2025

On a new condition implying that an achievement set is a Cantorval and its applications

Piotr Nowakowski

Given a nonincreasing sequence of positive numbers $(a_{n})$ such that the series $\sum a_{n}$ is convergent, by $E (a_{n})$ we denote the set of all subsums of the series $\sum a_{n}$ and…

math.CA2023

Achievement sets of series in $R^{2}$

Mateusz Kula, Piotr Nowakowski

We examine properties of achievement sets of series in $R^{2}$ . We show several examples of unusual sets of subsums on the plane. We prove that we can obtain any set of P-su…

On a new condition implying that an achievement set is a Cantorval and its applications

Achievement sets of series in R2

Achievement sets of series in $R^{2}$