We prove the explicit formula for the hyperbolic scattering determinant in the case of a general subgroup F of PSL (2, R). The class of test functions involved (not necessarily odd nor continuous) is much broader ...We prove the explicit formula for the hyperbolic scattering determinant in the case of a general subgroup F 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.展开更多
文摘We prove the explicit formula for the hyperbolic scattering determinant in the case of a general subgroup F 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.