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The field-of-norms functor is applied to deduce explicit reciprocity formulaefor the Hilbert symbol in the mixed characteristic case from the explicitformula for the Witt symbol in characteristic p > 2 in the context of higherlocal fields. Is is shown that a "very special case" of this construction givesVostokov's explicit formula

The field-of-norms functor and the Hilbert symbol for higher local fields