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Mathematics of the USSR-Izvestiya, 1991, Volume 37, Issue 3, Pages 555–586
DOI: https://doi.org/10.1070/IM1991v037n03ABEH002159 (Mi im1042) 		 
This article is cited in 9 scientific papers (total in 9 papers)

New explicit formulas for the norm residue symbol, and their applications

L. V. Kuz'min
English version PDF (1650 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM1991v037n03ABEH002159
Abstract: The author obtains a new explicit formula for the norm residue symbol in a local cyclotomic field which is especially suitable for work in $\mathbf Z_l$-extensions. Several applications of this formula to a conjecture on the $l$-adic regulator are given.
Received: 23.05.1989
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 6, Pages 1196–1228
Bibliographic databases:
UDC: 519.4
MSC: Primary 11S15; Secondary 11S20
Language: English
Original paper language: Russian
Citation: L. V. Kuz'min, “New explicit formulas for the norm residue symbol, and their applications”, Izv. Akad. Nauk SSSR Ser. Mat., 54:6 (1990), 1196–1228; Math. USSR-Izv., 37:3 (1991), 555–586
Citation in format AMSBIB
\Bibitem{Kuz90}
\by L.~V.~Kuz'min
\paper New explicit formulas for the norm residue symbol, and their applications
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 6
\pages 1196--1228
\mathnet{http://mi.mathnet.ru/im1042}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1098624}
\zmath{https://zbmath.org/?q=an:0737.11039|0724.11057}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..37..555K}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 37
\issue 3
\pages 555--586
\crossref{https://doi.org/10.1070/IM1991v037n03ABEH002159}
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  • https://doi.org/10.1070/IM1991v037n03ABEH002159
  • https://www.mathnet.ru/eng/im/v54/i6/p1196
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:336
    Russian version PDF:114
    English version PDF:28
    References:52
    First page:1
     
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