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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 94, Pages 50–69 (Mi znsl1804)  
This article is cited in 12 scientific papers (total in 12 papers)

Hilbert symbol in a discrete valuated field

S. V. Vostokov
Full-text PDF (1575 kB) Citations (12)
Abstract: In a complete discrete valuated field of characteristic zero with perfect residue field of prime characteristic a pairing with values in the group of primary elements is defined. It is proved that this pairing agrees with the Hilbert norm residue symbol and therefore provides an explicit formula for the latter.
English version:
Journal of Soviet Mathematics, 1982, Volume 19, Issue 1, Pages 1006–1019
DOI: https://doi.org/10.1007/BF01476113
Bibliographic databases:
UDC: 511.65
Language: Russian
Citation: S. V. Vostokov, “Hilbert symbol in a discrete valuated field”, Rings and modules. Part 2, Zap. Nauchn. Sem. LOMI, 94, "Nauka", Leningrad. Otdel., Leningrad, 1979, 50–69; J. Soviet Math., 19:1 (1982), 1006–1019
Citation in format AMSBIB
\Bibitem{Vos79}
\by S.~V.~Vostokov
\paper Hilbert symbol in a discrete valuated field
\inbook Rings and modules. Part~2
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 94
\pages 50--69
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1804}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=571515}
\zmath{https://zbmath.org/?q=an:0486.12007|0442.12022}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 1
\pages 1006--1019
\crossref{https://doi.org/10.1007/BF01476113}
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  • https://www.mathnet.ru/eng/znsl/v94/p50
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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