At least Randy gets a laugh out of it before diving into zeta functions.
He uses this as one of the inputs to the zeta function.
"But leaving that aside, the zeta function might still be a good way of doing it."
As you must have heard by now, it is based on zeta functions.
The zeta function is also useful for the analysis of dynamical systems.
The zeta function plays an important role in studying dynamical systems.
Thus, in this case, the motivic zeta function is rational.
He also located the poles of the twisted zeta function.
The accompanying figure shows the zeta function on a representative part of the relevant strip.
Then the zeta function of S is defined by the series: