Geodesic
The Hilbert symbol in multidimensional local fields for Lubin–Tate formal groups. 2
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 26-44 
S. S. Afanas'eva. The Hilbert symbol in multidimensional local fields for Lubin–Tate formal groups. 2. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 26-44. http://geodesic.mathdoc.fr/item/ZNSL_2013_413_a1/
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     author = {S. S. Afanas'eva},
     title = {The {Hilbert} symbol in multidimensional local fields for {Lubin{\textendash}Tate} formal groups.~2},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_413_a1/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper an explicit formula for the Hilbert pairing between the Milnor $K$-group of multidimensional local field and the multidimensional Lubin–Tate formal module is derived. This formula is a generalization of such formula in one-dimensional case. Here we consider the case of characteristic $p>0$ of penultimate residue field.

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