Signed null sequences and Hausdorff dimension

Richárd Balka, Kornélia Héra, Gergely Kiss

We investigate the convergence of signed null sequences of the form \[ \sum_{n=1}^\infty \varepsilon_n a_n, \quad \varepsilon_n \in \{-1,1\}, \] where $(a_n)$ tends to zero in $\ma…