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Mathematics of the USSR-Sbornik, 1977, Volume 31, Issue 1, Pages 49–62
DOI: https://doi.org/10.1070/SM1977v031n01ABEH002290 (Mi sm2638) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The zeta-function of elliptic curves over certain Abelian extensions of imaginary quadratic fields

P. F. Kurchanov
English version PDF (804 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1977v031n01ABEH002290
Abstract: For certain elliptic curves defined over an imaginary quadratic field, the value at one of the canonical $L$-series of these curves with explicit Dirichlet characters of the ground field is proved to equal zero.
Bibliography: 9 titles.
Received: 15.03.1976
Bibliographic databases:
UDC: 513.015.7
MSC: Primary 14G10, 14H25; Secondary 14K15, 10D20, 22E55, 20G05
Language: English
Original paper language: Russian
Citation: P. F. Kurchanov, “The zeta-function of elliptic curves over certain Abelian extensions of imaginary quadratic fields”, Math. USSR-Sb., 31:1 (1977), 49–62
Citation in format AMSBIB
\Bibitem{Kur77}
\by P.~F.~Kurchanov
\paper The zeta-function of elliptic curves over certain Abelian extensions of imaginary quadratic fields
\jour Math. USSR-Sb.
\yr 1977
\vol 31
\issue 1
\pages 49--62
\mathnet{http://mi.mathnet.ru/eng/sm2638}
\crossref{https://doi.org/10.1070/SM1977v031n01ABEH002290}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=498391}
\zmath{https://zbmath.org/?q=an:0443.12004}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1977FV43600004}
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  • https://doi.org/10.1070/SM1977v031n01ABEH002290
  • https://www.mathnet.ru/eng/sm/v144/i1/p56
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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