In this paper, we compute the scattering matrix for the Hilbert modular group over any number field K. We then express the determinant of the scattering matrix as a ratio of completed Dedekind zeta functions associated to the Hilbert class field of K. This generalizes work of Efrat and Sarnak [ES] in the imaginary quadratic case.

background: the purpose of dehorning in cattles is to decrease injuries and increase security in farms. besides breeding managements, different chemical and physical methods are used for dehorning of livestock, depending on their age, each of which has advantages and disadvantages. objectives: this study was performed to evaluate the effects of clove oil on disbudding new born calves following ...