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Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 4, Pages 561–592
DOI: https://doi.org/10.1070/SM1974v023n04ABEH001731 (Mi sm3735) 		 
This article is cited in 173 scientific papers (total in 173 papers)

Elliptic modules

V. G. Drinfeld
English version PDF (2073 kB) Citations (173)
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DOI: https://doi.org/10.1070/SM1974v023n04ABEH001731
Abstract: The notion of elliptic module is introduced, generalizing the concept of an elliptic curve, and an analog of the theory of elliptic and modular curves is constructed. Here the role of the group $GL(2,Q)$ is played by $GL(2,k)$, where $k$ is a function field. A theorem on the coincidence of $L$-functions of modular curves and Jacquet–Langlands $L$-functions corresponding to $k$ is proved.
Bibliography: 14 titles.
Received: 17.12.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 94(136), Number 4(8), Pages 594–627
Bibliographic databases:
UDC: 519.49
MSC: Primary 10D25, 12A65; Secondary 14K22
Language: English
Original paper language: Russian
Citation: V. G. Drinfeld, “Elliptic modules”, Mat. Sb. (N.S.), 94(136):4(8) (1974), 594–627; Math. USSR-Sb., 23:4 (1974), 561–592
Citation in format AMSBIB
\Bibitem{Dri74}
\by V.~G.~Drinfeld
\paper Elliptic modules
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 94(136)
\issue 4(8)
\pages 594--627
\mathnet{http://mi.mathnet.ru/sm3735}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=384707}
\zmath{https://zbmath.org/?q=an:0321.14014}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 4
\pages 561--592
\crossref{https://doi.org/10.1070/SM1974v023n04ABEH001731}
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  • https://www.mathnet.ru/eng/sm/v136/i4/p594
    Cycle of papers
    This publication is cited in the following 173 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:200
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