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L-functions for the classical groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1254)

Keywords

  • Zeta Function
  • Weyl Group
  • Parabolic Subgroup
  • Eisenstein Series
  • Block Form

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References

  1. J. Arthur, Eisenstein series and the trace formula. Pro. Symp. Pure Math. 33 (1979), pt. 1, 253–274.

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  2. A. Borel, Automorphic L-functions. Pro. Symp. Pure Math. 33 (1979), pt. 2, 27–61.

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  3. W. Casselman, Introduction to the theory of admissible representations of p-adic reductive groups (manuscript).

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  4. R. Godement and H. Jacquet, Zeta Functions of Simple Algebras. Lecture Notes in Math., vol. 260, Springer, New York.

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  5. S. Gindikin and F. Karpelevich, On an integral connected with symmetric Riemann spaces of nonpositive curvature. Amer. Math. Soc. Transl. (2) 85 (1969), 249–258.

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  6. R. Langlands, Euler Products. Yale University Press, 1967.

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  7. R, Langlands, On the functional equation satisfied by Eisenstein series. Lecture Notes in Math., vol 544, Springer, New York.

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  8. I. Macdonald, Spherical functions on a group of p-adic type. Ramanujan Institute, University of Madras Publ., 1971.

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© 1987 Springer-Verlag

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Piatetski-Shapiro, I., Rallis, S. (1987). L-functions for the classical groups. In: Explicit Constructions of Automorphic L-Functions. Lecture Notes in Mathematics, vol 1254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078126

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  • DOI: https://doi.org/10.1007/BFb0078126

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17848-4

  • Online ISBN: 978-3-540-47880-5

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