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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {S. S. Afanas'eva},
     title = {The {Hilbert} symbol in multidimensional local fields for {Lubin{\textendash}Tate} formal groups.~2},
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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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