Some Relations for Double Hurwitz Numbers

We obtain new relations for Hurwitz numbers of functions with one polynomial and one arbitrary critical value. (All other critical values are supposed to be simple.) This is a straightforward generalization of our earlier results on Hurwitz numbers of functions with one polynomial critical value.__________Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 39, No. 2, pp. 91–94, 2005Original Russian Text Copyright © by S. V. ShadrinSupported in part by grants RFBR-01-01-00660, RFBR-02-01-22004, and NSh-1972.2003.1.