A density result on the sum of element orders of a finite group

Mihai-Silviu Lazorec, Tărnăuceanu Marius

Let $\mathcal{G}$ be the class of all finite groups and consider the function ${\psi }^{\prime \prime }:\mathcal{G}⟶(0,1]$, given by ${\psi }^{\prime \prime }(G)=\frac{\psi (G)}{|G{|}^2}$, where $\psi (G)$ is the sum o…