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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 3, Pages 445–478
DOI: https://doi.org/10.1070/IM1982v019n03ABEH001424 (Mi im1712) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Some remarks on the $l$-adic Dirichlet theorem and the $l$-adic regulator

L. V. Kuz'min
English version PDF (1762 kB) Citations (9)
References:
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DOI: https://doi.org/10.1070/IM1982v019n03ABEH001424
Abstract: The Leopoldt conjecture is proved for some special types of nonabelian number fields. A new definition of the $l$-adic regulator is proposed, which makes sense for any algebraic number field, and in some special cases it is proved that this regulator is different from zero. In addition, estimates are obtained for the rank of the matrix figuring in the definition of the regulator.
Bibliography: 10 titles.
Received: 14.04.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 6, Pages 1203–1240
Bibliographic databases:
UDC: 519.4
MSC: Primary 12B10, 12B45; Secondary 12B25, 12B20
Language: English
Original paper language: Russian
Citation: L. V. Kuz'min, “Some remarks on the $l$-adic Dirichlet theorem and the $l$-adic regulator”, Izv. Akad. Nauk SSSR Ser. Mat., 45:6 (1981), 1203–1240; Math. USSR-Izv., 19:3 (1982), 445–478
Citation in format AMSBIB
\Bibitem{Kuz81}
\by L.~V.~Kuz'min
\paper Some remarks on the $l$-adic Dirichlet theorem and the $l$-adic regulator
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 6
\pages 1203--1240
\mathnet{http://mi.mathnet.ru/im1712}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=641800}
\zmath{https://zbmath.org/?q=an:0527.12012}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 3
\pages 445--478
\crossref{https://doi.org/10.1070/IM1982v019n03ABEH001424}
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    Cycle of papers
    This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:272
    Russian version PDF:84
    English version PDF:13
    References:50
    First page:2
     
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