The scattering matrix for the Hilbert modular group Academic Article

abstract

• In this paper, we compute the scattering matrix for the Hilbert modular group over any number field K. 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 K. This generalizes work of Efrat and Sarnak in the imaginary quadratic case. 2009 American Mathematical Society.

authors

• Masri, Mohamad

published proceedings

• Proceedings of the American Mathematical Society

author list (cited authors)

• Masri, R.

citation count

• 0

complete list of authors

• Masri, Riad

publication date

• August 2009

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Proceedings of the American Mathematical Society  Journal

keywords

• 49 Mathematical Sciences
• 4903 Numerical And Computational Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1090/s0002-9939-09-09800-1

start page

• 2541

end page

• 2555

volume

• 137

issue

• 8