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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 305, Pages 60–83 (Mi znsl862)  
This article is cited in 2 scientific papers (total in 2 papers)

Norm series in multidimensional local fields

S. V. Vostokov, G. K. Pak

Saint-Petersburg State University
Full-text PDF (278 kB) Citations (2)
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Abstract: In the present paper, the notion of norm series with respect to the norm residue symbol is generalized to a multidimensional local field. Necessary and sufficient conditions for the existence of norm series are obtained.
Received: 16.05.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 130, Issue 3, Pages 4675–4688
DOI: https://doi.org/10.1007/s10958-005-0362-1
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: S. V. Vostokov, G. K. Pak, “Norm series in multidimensional local fields”, Problems in the theory of representations of algebras and groups. Part 10, Zap. Nauchn. Sem. POMI, 305, POMI, St. Petersburg, 2003, 60–83; J. Math. Sci. (N. Y.), 130:3 (2005), 4675–4688
Citation in format AMSBIB
\Bibitem{VosPak03}
\by S.~V.~Vostokov, G.~K.~Pak
\paper Norm series in multidimensional local fields
\inbook Problems in the theory of representations of algebras and groups. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 305
\pages 60--83
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl862}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2033614}
\zmath{https://zbmath.org/?q=an:1140.11351}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 130
\issue 3
\pages 4675--4688
\crossref{https://doi.org/10.1007/s10958-005-0362-1}
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  • https://www.mathnet.ru/eng/znsl/v305/p60
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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