On a paper by Hasse concerning Eisenstein reciprocity law

In the present paper we give necessary and sufficient conditions equality power rezidue symbols $(\frac\alpha a)_n$ and $(\frac a\alpha)_n$ in the cyclotomic field $\mathbb Q(\zeta_n)$, $2\nmid n $, for $a\in\mathbb Z$, $(a,n)=1$. This result is generalization of classical Eisenstein reciprocity law and its continuation in Hasse paper. Bibl. – 3 titles.