Casimir energy for elliptic fixed points

Abstract

The contribution of elliptic fixed points to the scalar Casimir energy on compact quotients of the upper half hyperbolic plane is computed for a propagation operator conformal in three dimensions. The expression involves derivatives of two-dimensional Barnes zeta-functions which are reduced to Hurwitz zeta-functions for numerical purposes. The values are all positive for any elliptic order.

8 pages Missing factor restored. Conclusion expanded. One reference added. Various corrections and additional remarks