ArticleOriginal scientific text

Title

The covolume of quaternion groups on the four-dimensional hyperbolic space

Authors 1, 2

Affiliations

  1. Fakultät für Mathematik und Informatik, Universität Mannheim, Seminargebäude A 5, D-68131 Mannheim, Germany
  2. Mathematisches Institut der Universität Münster, Einsteinstraße 62, D-48149 Münster, Germany

Bibliography

  1. [De] M. Deuring, Algebren, 2. Auf., Springer, Berlin, 1968.
  2. [EGM] J. Elstrodt, F. Grunewald and J. Mennicke, Eisenstein series on three-dimensional hyperbolic space and imaginary quadratic number fields, J. Reine Angew. Math. 360 (1985), 160-213.
  3. [Gr] L. Greenberg, Finiteness theorems for Fuchsian and Kleinian groups, in: Discrete Groups and Automorphic Functions, Proc. Conf. Cambridge 1975, W. J. Harvey (ed.), Academic Press, London, 1977, 199-257.
  4. [GS] V. A. Gritsenko and R. Schulze-Pillot, Eisenstein series on four-dimensional hyperbolic space, Acta Arith. 67 (1994), 241-268.
  5. [Kr] A. Krieg, Eisenstein-series on real, complex and quaternionic half-spaces, Pacific J. Math. 133 (1988), 315-354.
  6. [Ro] W. Roelcke, Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II, Math. Ann. 168 (1967), 261-324.
  7. [Sa] P. Sarnak, The arithmetic and geometry of some hyperbolic three manifolds, Acta Math. 151 (1983), 253-295.
  8. [Wi] N. J. Wielenberg, Discrete Moebius groups: Fundamental polyhedra and convergence, Amer. J. Math. 99 (1977), 861-877.
  9. [Za] D. B. Zagier, Modular forms whose Fourier coefficients involve zeta functions of quadratic fields, in: Lecture Notes in Math. 627, Springer, Berlin, 1977, 105-169.
Pages:
9-21
Main language of publication
English
Received
1995-09-18
Published
1996
Exact and natural sciences