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Mat. Sb. (N.S.), 1977, Volume 102(144), Number 2, Pages 182–194 (Mi msb2647)  

This article is cited in 16 scientific papers (total in 16 papers)

Elliptic modules. II

V. G. Drinfeld


Abstract: In this paper the Langlands reciprocity law is proved for representations of $GL(2)$ over the adeles of a function field for which one of the components is cuspidal or special. In part I (RZhMat., 1974, 11A517), the author considered the case when one of the components is special.
Bibliography: 7 titles.

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English version:
Mathematics of the USSR-Sbornik, 1977, 31:2, 159–170

Bibliographic databases:

UDC: 511.61
MSC: Primary 10D99; Secondary 20G05, 22E55, 12A70, 12B30
Received: 05.04.1976

Citation: V. G. Drinfeld, “Elliptic modules. II”, Mat. Sb. (N.S.), 102(144):2 (1977), 182–194; Math. USSR-Sb., 31:2 (1977), 159–170

Citation in format AMSBIB
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\by V.~G.~Drinfeld
\paper Elliptic modules.~II
\jour Mat. Sb. (N.S.)
\yr 1977
\vol 102(144)
\issue 2
\pages 182--194
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=439758}
\zmath{https://zbmath.org/?q=an:0363.20038|0386.20022}
\transl
\jour Math. USSR-Sb.
\yr 1977
\vol 31
\issue 2
\pages 159--170
\crossref{https://doi.org/10.1070/SM1977v031n02ABEH002296}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1977FY72200003}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. Ulrich Stuhler, “P-adic homogeneous spaces and moduli problems”, Math Z, 192:4 (1986), 491  crossref  mathscinet  zmath  isi
    2. V. G. Drinfeld, “Varieties of modules of $F$-sheaves”, Funct. Anal. Appl., 21:2 (1987), 107–122  mathnet  crossref  mathscinet  zmath  isi
    3. V. G. Drinfeld, “The proof of peterson's conjecture for $GL(2)$ over a global field of characteristic $p$”, Funct. Anal. Appl., 22:1 (1988), 28–43  mathnet  crossref  mathscinet  zmath  isi
    4. Ernst-Ulrich Gekele, “On finite Drinfeld modules”, Journal of Algebra, 141:1 (1991), 187  crossref
    5. Boutot J. Carayol H., “P-Adic Uniformization of Shimura Curves - Cerednik and Drinfeld Theorems”, Asterisque, 1991, no. 196-97, 45–158  mathscinet  zmath  isi
    6. Ernst-Ulrich Gekeler, “On the arithmetic of some division algebras”, Comment Math Helv, 67:1 (1992), 316  crossref  mathscinet  zmath  isi
    7. Véronique Mauduit, “Euler Pseudoprime Polynomials and Strong Pseudoprime Polynomials”, Finite Fields and Their Applications, 6:3 (2000), 218  crossref
    8. Ching-Li Chai, Wen-Ching Winnie Li, “Character sums, automorphic forms, equidistribution, and Ramanujan graphs Part I. The Kloosterman sum conjecture over function fields”, form, 15:5 (2003), 679  crossref  mathscinet  zmath
    9. Michael Rosen, “Formal Drinfeld modules”, Journal of Number Theory, 103:2 (2003), 234  crossref
    10. Roland Gillard, Franck Leprevost, Alexei Panchishkin, Xavier-François Roblot, “Utilisation des modules de Drinfeld en cryptologie”, Comptes Rendus Mathematique, 336:11 (2003), 879  crossref
    11. Richard Pink, “The Galois representations associated to a Drinfeld module in special characteristic—I: Zariski density”, Journal of Number Theory, 116:2 (2006), 324  crossref
    12. Consani C., Marcolli M., “Quantum Statistical Mechanics Over Function Fields”, J. Number Theory, 123:2 (2007), 487–528  crossref  mathscinet  zmath  isi
    13. Mihran Papikian, “Endomorphisms of exceptional
      $${\mathcal{D}}$$
      -elliptic sheaves”, Math Z, 2009  crossref
    14. Carbone L., Cobbs L., Murray S.H., “Fundamental Domains for Congruence Subgroups of Sl2 in Positive Characteristic”, J. Algebra, 325:1 (2010), 431–439  crossref  mathscinet  isi
    15. Thakur D.S., “Recent Progress and Open Problems in Function Field Arithmetic - the Influence of John Tate's Work”, Pure Appl. Math. Q., 6:1 (2010), 1–20  mathscinet  zmath  isi
    16. Devic A., Pink R., “Adelic Openness for Drinfeld Modules in Special Characteristic”, J. Number Theory, 132:7 (2012), 1583–1625  crossref  mathscinet  zmath  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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