Geodesic
The arithmetic of the Lubin–Tate formal module in a multidimensional complete field
Algebra i analiz, Tome 26 (2014) no. 6, pp. 1-9 Cet article a éte moissonné depuis la source Math-Net.Ru

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This is the first part of the paper devoted to the derivation of an explicit formula for the Hilbert symbol in a complete multidimensional field. In the present paper, we construct primary elements and the Shafarevich basis for Lubin–Tate formal modules, which is the crucial point in the construction of explicit formulas.
Keywords: Shafarevich generalized basis, formal group law, discrete valuation field, unramified extension.
Mots-clés : formal $C$-module 
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B. M. Bekker; S. V. Vostokov. The arithmetic of the Lubin–Tate formal module in a multidimensional complete field. Algebra i analiz, Tome 26 (2014) no. 6, pp. 1-9. http://geodesic.mathdoc.fr/item/AA_2014_26_6_a0/

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