On $\mathcal{I}(<q)$- and $\mathcal{I}(\le q)$-convergence of arithmetic functions

János T. Tóth, József Bukor, Ferdinánd Filip +1

Let $\mathbb{N}$ be the set of positive integers, and denote by $\lambda (A)=\inf \{t>0:{\sum }_{a\in A}{a}^{-t}<\infty \}$ the convergence exponent of $A\subset \mathbb{N}$. For $0<q\le 1$, $0\le…