The Hilbert symbol in multidimensional local fields for Lubin–Tate formal groups. 2

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.