Multigeometric sequences and Cantorvals

Artur Bartoszewicz, Małgorzata Filipczak, Emilia Szymonik

For a sequence $x\in l_1\setminus c_{00}$, one can consider the achievement set $E(x)$ of all subsums of series ${\sum }_{n=1}^{\infty }x(n)$. It is known that $E(x)$ is one of the…