First, though, here’s what a cubic function looks like: Roughly speaking, a quadratic function, familiar from high school geometry, always goes up and then down (or down and then up). That’s it.

L. E. Dickson, Waring's Problem for Cubic Functions, Transactions of the American Mathematical Society, Vol. 36, No. 1 (Jan., 1934), pp. 1-12 ...

In this paper we study the adelic zeta function associated with the prehomogeneous vector space of binary cubic forms, defined over a function field. We establish its rationality, find its poles and ...