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Algebra i Analiz, 1990, Volume 2, Issue 4, Pages 91–118 (Mi aa197)  

This article is cited in 5 scientific papers (total in 5 papers)

Research Papers

On the theory of multidimensional local fields. Methods and constructions

S. V. Vostokov, I. B. Zhukov, I. B. Fesenko

Leningrad State University

Full text: PDF file (1277 kB)

English version:
Leningrad Mathematical Journal, 1991, 2:4, 775–800

Bibliographic databases:

Received: 14.06.1989

Citation: S. V. Vostokov, I. B. Zhukov, I. B. Fesenko, “On the theory of multidimensional local fields. Methods and constructions”, Algebra i Analiz, 2:4 (1990), 91–118; Leningrad Math. J., 2:4 (1991), 775–800

Citation in format AMSBIB
\Bibitem{VosZhuFes90}
\by S.~V.~Vostokov, I.~B.~Zhukov, I.~B.~Fesenko
\paper On the theory of multidimensional local fields. Methods and constructions
\jour Algebra i Analiz
\yr 1990
\vol 2
\issue 4
\pages 91--118
\mathnet{http://mi.mathnet.ru/aa197}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1080201}
\zmath{https://zbmath.org/?q=an:0721.11054|0732.11066}
\transl
\jour Leningrad Math. J.
\yr 1991
\vol 2
\issue 4
\pages 775--800


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  • http://mi.mathnet.ru/eng/aa/v2/i4/p91

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. V. Vostokov, G. K. Pak, “Norm series in multidimensional local fields”, J. Math. Sci. (N. Y.), 130:3 (2005), 4675–4688  mathnet  crossref  mathscinet  zmath
    2. S. V. Vostokov, F. Lorenz, “An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field”, Sb. Math., 194:2 (2003), 165–197  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. M. V. Bondarko, S. V. Vostokov, F. Lorenz, “The Hilbert pairing for formal groups over $\sigma$-rings”, J. Math. Sci. (N. Y.), 134:6 (2006), 2445–2476  mathnet  crossref  mathscinet  zmath  elib  elib
    4. S. V. Vostokov, “Shafarevich's paper “A general reciprocity law””, Sb. Math., 204:6 (2013), 781–800  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. S. O. Gorchinskiy, D. V. Osipov, “A higher-dimensional Contou-Carrère symbol: local theory”, Sb. Math., 206:9 (2015), 1191–1259  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
  • Алгебра и анализ
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