  Using the previously constructed explicit reciprocity laws for the
generalized Kummer pairing of an arbitrary (one-dimensional) formal group, in
this article a special consideration is given to Lubin-Tate formal groups. In
particular, this allows for a completely explicit description of the Kummer
pairing in terms of multidimensional p-adic differentiation. The results
obtained here constitute a generalization, to higher local fields, of the
formulas of Artin-Hasse, Iwasawa, Kolyvagin and Wiles.
