Geodesic
Eisenstein's reciprocity law for Lubin--Tate formal groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 20, Tome 386 (2011), pp. 129-143

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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. 
@article{ZNSL_2011_386_a2,
     author = {S. V. Vostokov and M. A. Ivanov},
     title = {Eisenstein's reciprocity law for {Lubin--Tate} formal groups},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {129--143},
     publisher = {mathdoc},
     volume = {386},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_386_a2/}
}
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S. V. Vostokov; M. A. Ivanov. Eisenstein's reciprocity law for Lubin--Tate formal groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 20, Tome 386 (2011), pp. 129-143. http://geodesic.mathdoc.fr/item/ZNSL_2011_386_a2/