Eisenstein's reciprocity law for Lubin–Tate formal groups

In the present paper, we study a generalized norm residue symbol on Lubin–Tate formal groups and research a triviality for this symbol, when the first argument locate in the definition field of formal group.
We use explicit formulas for the generalized norm residue symbol $(\ ,\,)_{F,n}$, herewith requirement, consisting of a bound to representing in the form uniformizing's degrees is removed. Bibl. 6 titles.