Buchstab function (source code)

= Buchstab function
{c}
{title2=$w(u)$}
{wiki}

The continuous <Buchstab function> satisfies $w(u)=1/u$ for $1\le u\le2$ and $\frac{d}{du}(u w(u))=w(u-1)$ for $u>2$. It describes the density of <rough numbers>.