Relation between Regge trajectory intercepts and the asymptotic behavior of the multiplicity moments f/sub k/

Assuming that the multiplicity moments $f_k\left(s\right)$ formed from the topological cross section ${\sigma }_n\left(s\right)$ or from integrated inclusive correlation functions behave for large s as $f_k\left(s\right)~c_k\ln s$, we discuss a general relation between the $c_k$ and the leading asymptotic behavior of ${\sigma }_n\left(s\right)$. The relation has been given by Harari, but our arguments demonstrate that it is not connected with any hypothesis concerning the dependence of hadronic parameters on some underlying coupling constants.