Skip to main content
Log in

Selberg type zeta functions for the group of complex two by two matrices of determinant one

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Fell, J.M.G.: The representation theory of the 2 × 2 complex unimodular group. Unpublished notes

  2. Gangolli, R.: On the length spectra of certain compact manifolds of negative curvature. J. Differential Geom. 12, 403–423 (1977)

    MathSciNet  MATH  Google Scholar 

  3. Gangolli, R.: Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one. Illinois J. Math. 21, 1–41 (1977)

    MathSciNet  MATH  Google Scholar 

  4. Gangolli, R., Warner, G.: On Selberg's trace formula. J. Math. Soc. Jpn 27, 328–343 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  5. Gelfand, I.M., Graev, M.I., Pyatetski-Shapiro, I.I.: Representation theory and automorphic functions. Philadelphia, London, Toronto: W. B. Saunders 1969

    Google Scholar 

  6. Raghunathan, M.S.: Discrete subgroups of Lie groups. New York, Heidelberg, Berlin: Springer-Verlag 1972

    MATH  Google Scholar 

  7. Scott, D.: A Paley-Wiener Theorem for S1(2, ℂ1972), to appear.

  8. Selberg, A.: Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series. J. Indian Math. Soc. 20, 47–87 (1956)

    MathSciNet  MATH  Google Scholar 

  9. Wallach, N.R.: An asymptotic formula of Gelfand and Gangolli for the spectrum of ΓG. J. Differential Geom. 11, 91–101 (1976)

    MathSciNet  MATH  Google Scholar 

  10. Wallach, N.R.: On the Selberg trace formula in the case of compact quotient. Bull. Amer. Math. Soc. 82, 171–195 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  11. Warner, G.: Harmonic analysis on semi-simple Lie groups I and II. New York, Heidelberg, Berlin: Springer-Verlag 1972

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Scott, D. Selberg type zeta functions for the group of complex two by two matrices of determinant one. Math. Ann. 253, 177–194 (1980). https://doi.org/10.1007/BF02352871

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02352871

Keywords

Navigation