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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 289, Pages 233–259 (Mi znsl1605)  
This article is cited in 3 scientific papers (total in 3 papers)

Generalized Artin–Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field

A. N. Zinoviev

Saint-Petersburg State University
Full-text PDF (325 kB) Citations (3)
Abstract: In the paper we consider the generalized Hilbert symbol in the cyclotomic extension of an absolutely unramified higher local field of characteristic 0 with perfect last residue field of characteristic $p>2$. We deduce the generalized Artin–Hasse and Iwasawa formulas from the explicit Kummer type Vostokov formula.
Received: 20.10.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 124, Issue 1, Pages 2806–2821
DOI: https://doi.org/10.1023/B:JOTH.0000042316.47386.f4
Bibliographic databases:
UDC: 511+512.6
Language: Russian
Citation: A. N. Zinoviev, “Generalized Artin–Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field”, Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, POMI, St. Petersburg, 2002, 233–259; J. Math. Sci. (N. Y.), 124:1 (2004), 2806–2821
Citation in format AMSBIB
\Bibitem{Zin02}
\by A.~N.~Zinoviev
\paper Generalized Artin--Hasse and Iwasawa formulas for the Hilbert symbol in a higher local field
\inbook Problems in the theory of representations of algebras and groups. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 289
\pages 233--259
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1605}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949743}
\zmath{https://zbmath.org/?q=an:1130.11334}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 124
\issue 1
\pages 2806--2821
\crossref{https://doi.org/10.1023/B:JOTH.0000042316.47386.f4}
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  • https://www.mathnet.ru/eng/znsl/v289/p233
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    Citing articles in Google Scholar: Russian citations, English citations
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