Truncated Plethystic Exponentials Preserve Power Sum Constraints

Yogesh Phalak

Given an arbitrary sequence $({\alpha }_1,\dots ,{\alpha }_n)\in {\mathbb{C}}^n$, we show that the degree-$n$ truncation of the formal exponential $\exp\bigl(-\sum_{k=1}^{\infty} \frac{α_k}{k} x^…