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The scattering matrix for the Hilbert modular group
Author(s):
Riad
Masri
Journal:
Proc. Amer. Math. Soc.
137
(2009),
2541-2555.
MSC (2000):
Primary 11F41
Posted:
January 28, 2009
MathSciNet review:
2497465
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Additional information
Abstract:
In this paper, we compute the scattering matrix for the Hilbert modular group over any number field  . We then compute the determinant of the scattering matrix and show it is a ratio of completed Dedekind zeta functions associated to the Hilbert class field of  . This generalizes work of Efrat and Sarnak in the imaginary quadratic case.
References:
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Additional Information:
Riad
Masri
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email:
masri@math.wisc.edu
DOI:
10.1090/S0002-9939-09-09800-1
PII:
S 0002-9939(09)09800-1
Received by editor(s):
July 9, 2008,
Received by editor(s) in revised form:
October 13, 2008
Posted:
January 28, 2009
Communicated by:
Ken Ono
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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