The covolume of quaternion groups on the four-dimensional hyperbolic space
Stefan Breulmann ; Volker Helmke
Acta Arithmetica, Tome 76 (1996), p. 9-21 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:206911
@article{bwmeta1.element.bwnjournal-article-aav77i1p9bwm,
     author = {Stefan Breulmann and Volker Helmke},
     title = {The covolume of quaternion groups on the four-dimensional hyperbolic space},
     journal = {Acta Arithmetica},
     volume = {76},
     year = {1996},
     pages = {9-21},
     zbl = {0848.11018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav77i1p9bwm}
}
Stefan Breulmann; Volker Helmke. The covolume of quaternion groups on the four-dimensional hyperbolic space. Acta Arithmetica, Tome 76 (1996) pp. 9-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav77i1p9bwm/

[000] [De] M. Deuring, Algebren, 2. Auf., Springer, Berlin, 1968.

[001] [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. | Zbl 0555.10012

[002] [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.

[003] [GS] V. A. Gritsenko and R. Schulze-Pillot, Eisenstein series on four-dimensional hyperbolic space, Acta Arith. 67 (1994), 241-268. | Zbl 0810.11035

[004] [Kr] A. Krieg, Eisenstein-series on real, complex and quaternionic half-spaces, Pacific J. Math. 133 (1988), 315-354. | Zbl 0657.10025

[005] [Ro] W. Roelcke, Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II, Math. Ann. 168 (1967), 261-324.

[006] [Sa] P. Sarnak, The arithmetic and geometry of some hyperbolic three manifolds, Acta Math. 151 (1983), 253-295. | Zbl 0527.10022

[007] [Wi] N. J. Wielenberg, Discrete Moebius groups: Fundamental polyhedra and convergence, Amer. J. Math. 99 (1977), 861-877. | Zbl 0373.57024

[008] [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.