On an arithmetical property of moments and cumulants

Ashot V. Kakosyan, Lev B. Klebanov

The main result of the paper is the following. Let a non-degenerate distribution have finite moments ${\mu }_k$ of all orders $k=0,1,2,\dots$. Then the sequence $\{μ_k/k!, \; k=0,1,2,\…