On the Dirichlet convolution of completely additive functions
J. Integer Seq. 17(8), Article 14.8.7, 13 p., electronic only (2014)
Summary
Summary: Let $k$ and $l$ be non-negative integers. For two completely additive functions $f$ and $g$, we consider various identities for the Dirichlet convolution of the $k$th powers of $f$ and the $l$th powers of $g$. Furthermore, we derive some asymptotic formulas for sums of convolutions on the natural logarithms.
