The arithmetic of the lubin-tate formal module in a multidimensional complete field

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Abstract

© 2015. In the first part of the paper devoted to the derivation of an explicit formula for the Hilbert symbol in a complete multidimensional field, primary elements and the Shafarevich basis for Lubin-Tate formal modules are constructed, which is the crucial point in the construction of explicit formulas.
Original languageEnglish
Pages (from-to)859-865
JournalSt. Petersburg Mathematical Journal
Volume26
Issue number6
DOIs
StatePublished - 2015

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