On the increase of Grönwall function value at the multiplication of its argument by a prime

Aleksandr Morkotun

We consider the function $G(n)=\frac{\sigma (n)}{n\log \log n}$ (where $\sigma (n)={\sum }_{d|n}d$) and set an imposed condition on its argument $n$, the fulfillment of which is sufficient for the…