Abstract:
This article is devoted to the problem of finding the number of nonequivalent cyclic $n$-sheeted coverings over a Seifert fiber space without exceptional fibers. We obtain exact formulas for determining the number of nonequivalent cyclic $n$-sheeted coverings over an arbitrary manifold that belongs to the above class.
Key words:fundamental group, group of covering transformations, regular covering, cyclic covering, Seifert fiber space, Dirichlet product, multiplicative function.