The Number of Nonequivalent Cyclic Coverings over a Seifert Fiber Space

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.