Geodesic
New explicit formulas for the norm residue symbol, and their applications
Izvestiya. Mathematics , Tome 37 (1991) no. 3, pp. 555-586.

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The author obtains a new explicit formula for the norm residue symbol in a local cyclotomic field which is especially suitable for work in $\mathbf Z_l$-extensions. Several applications of this formula to a conjecture on the $l$-adic regulator are given. 
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L. V. Kuz'min. New explicit formulas for the norm residue symbol, and their applications. Izvestiya. Mathematics , Tome 37 (1991) no. 3, pp. 555-586. http://geodesic.mathdoc.fr/item/IM2_1991_37_3_a5/

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