Geodesic
Generalized Artin–Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field. II
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 183-196 
A. N. Zinoviev. Generalized Artin–Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field. II. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 183-196. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a7/
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     title = {Generalized {Artin{\textendash}Hasse} and {Iwasawa} formulas for the {Hilbert} symbol in a~higher local {field.~II}},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper we consider the generalized Hilbert symbol in a higher local field of charactersitic 0 with the first residue field of characteristic 0 as well and with perfect last residue field of positive characteristic p which comes from higher local $p$-class field theory developed by I. Fesenko. Using the descent to a subfield of mixed characteristic we deduce from the generalized Artin–Hasse and Iwasawa formulas proved in a previous paper the corresponding Artin–Hasse and Iwasawa explicit reciprocity laws in the case under consideration.

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