Shamir's Threshold Scheme (Theory Part, Need some help understanding a term that I can't find online)
By definition, $\max(a,b)$ is the largest of $a$ and $b$. That's also the meaning in many computer languages, e.g. Python's max.

Thus $p&gt;\max(S,n)$ means: $p&gt;S$ and $p&gt;n$.