Abstract:
Current paper describes the explicit formula of the Hibert pairing between Milnor $K$-group of multidimensional local field and polynomial formal module. This formula generalizes similar results
for one-dimensioinal case and multidimensional case of multiplicative group. A case of different characteristics of a field and its first residue field is considered.
Key words and phrases:formal groups, Hilbert symbol, mutidimensional local field, Milnor $K$-group.