On the binomial convolution of arithmetical functions

László Tóth, Pentti Haukkanen

Let $n={\prod }_p{p}^{{\nu }_p(n)}$ denote the canonical factorization of $n\in \mathbb{N}$. The binomial convolution of arithmetical functions $f$ and $g$ is defined as $(f\circ g)(n)=\sum_{d\mid…