Period Integrals of Eisenstein Cohomology Classes and Special Values of Some L-Functions

  • G. Harder
Part of the Progress in Mathematics book series (PM, volume 26)

Abstract

This paper is an addendum to my earlier paper “Period Integrals of Cohomology Classes which are Represented by Eisenstein Series” which was presented at the Bombay Colloquium in 1979. We shall refer to it by [Ha], and a certain familiarity with that paper is assumed.

Keywords

Manifold Stein 1oNE Cond Fermat 

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References

  1. [Bo1]
    Borel, A. Introduction Aux Groupes Arithmetiques, Herman, Paris. 1992.Google Scholar
  2. [Bo2]
    Borel, A. “Cohomologie de sous-groupes discrets et representa- tions de groupes semi-simples,M Asterisque 32–33, (1976).Google Scholar
  3. [Bo3]
    Borel, A. “Stable Real Cohomology of Arithmetic Groups II,” In: Progress in Mathematics, Volume in honor of Y. Matsushima.Google Scholar
  4. [B-W]
    Borel, A., and Wallach, N. “Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups,” Annais of Mathematics Studies, Princeton University Press, (1980).Google Scholar
  5. Ca] Casselman, B. “An Assortment of Results on Representations of GLL(k),M Modular Functions II, Proc. Int. Summer School Antwerp, 1972, Springer LN 39, pp. 1–51».Google Scholar
  6. [Da]
    Damereil. “L-Functions of Elliptic Curves with Complex Multi- plication, I, II,” Acta Arithmetica]J_, (1970), 287“301; YS, (1971), 311–317.Google Scholar
  7. Fl] Flath, D. “Decomposition of Representations into Tensor Products Proc. of Symp. in Pure Math., vol. 33, I, pp. 179-183.Google Scholar
  8. G-J] Gelbart, S., and Jacquet, H. “Forms of GL(2) from the Analytic Point of View,” Proc. of Symp. in Pure Math., vol. 33,, I, PP. 213–251.Google Scholar
  9. [Go]
    Godement, R. “Notes on Jacquet-Langlands1 Theory,” The Institute for Advanced Study, 1970.Google Scholar
  10. [Ha]
    Härder, G. “Period Integrals of Cohomology Classes which are Represented by Eisenstein Series,” Proc. Bombay Colloquium 1979, Springer 1981, pp. 41–115.Google Scholar
  11. [HC]
    Harish-Chandra. “Automorphic Forms on Semisimple Lie Groups,” Springer Lecture Notes 62, 1968.Google Scholar
  12. [J-L]
    Jacquet, H., and Langlands, R. “Automorphic Forms on GL(2),” Springer Lecture Notes IIA, 1970.Google Scholar
  13. La] Langlands, R. “Modular Forms and 1-adic Representations, Modular Forms II,” Proc. Int. Summer School Antwerp, 1972, Springer Lecture Notes 349, pp. 361–500.Google Scholar
  14. Lg] Lang, S. Algebraic Number Theory Addison Wesley Publ. Company,1969.Google Scholar
  15. [R]
    de Rham, G. Varieties Differentiables, Herman, Paris, (1955).Google Scholar
  16. We] Weil, A. “Adeles and Algebraic Groups,” Mimeographed Notes, Princeton (i960)Google Scholar

Copyright information

© Springer Science+Business Media New York 1982

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  • G. Harder

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