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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 3, Pages 465–472
DOI: https://doi.org/10.1070/SM1974v022n03ABEH001700 (Mi sm3427) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the rank of elliptic curves over $\Gamma$-extensions

P. F. Kurchanov
English version PDF (423 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM1974v022n03ABEH001700
Abstract: In this paper an estimate is given for the $\rho$-invariant of the Mazur module for Abelian varieties over $\Gamma$-extensions. For an elliptic Fermat curve the group of points at each level of a noncyclotomic $\Gamma$-extension is computed.
Bibliography: 6 titles.
Received: 17.05.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 93(135), Number 3, Pages 460–466
Bibliographic databases:
UDC: 513.015.7
MSC: Primary 14H45; Secondary 14K15
Language: English
Original paper language: Russian
Citation: P. F. Kurchanov, “On the rank of elliptic curves over $\Gamma$-extensions”, Mat. Sb. (N.S.), 93(135):3 (1974), 460–466; Math. USSR-Sb., 22:3 (1974), 465–472
Citation in format AMSBIB
\Bibitem{Kur74}
\by P.~F.~Kurchanov
\paper On the rank of elliptic curves over $\Gamma$-extensions
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 93(135)
\issue 3
\pages 460--466
\mathnet{http://mi.mathnet.ru/sm3427}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=344256}
\zmath{https://zbmath.org/?q=an:0338.14013}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 3
\pages 465--472
\crossref{https://doi.org/10.1070/SM1974v022n03ABEH001700}
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  • https://doi.org/10.1070/SM1974v022n03ABEH001700
  • https://www.mathnet.ru/eng/sm/v135/i3/p460
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:223
    Russian version PDF:85
    English version PDF:9
    References:33
     
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