Explicit Formula for the Hyperbolic Scattering Determinant
Source: Acta Mathematica Sinica, Volume 23, Number 5, May 2007 , pp. 889-894(6)
Abstract:We prove the explicit formula for the hyperbolic scattering determinant in the case of a general subgroup Γ of PSL (2,ℜ). The class of test functions involved (not necessarily odd nor continuous) is much broader than that previously known. As an application of the technique, a new representation of the Millson–Shintani zeta function is obtained.
Document Type: Research Article
Publication date: May 1, 2007