DETERMINANT OF THE LAPLACIAN ON A NONCOMPACT 3-DIMENSIONAL HYPERBOLICMANIFOLD WITH FINITE-VOLUME

Authors
BYTSENKO AA COGNOLA G ZERBINI S
Citation
Aa. Bytsenko et al., DETERMINANT OF THE LAPLACIAN ON A NONCOMPACT 3-DIMENSIONAL HYPERBOLICMANIFOLD WITH FINITE-VOLUME, Journal of physics. A, mathematical and general, 30(10), 1997, pp. 3543-3552
Citations number
29
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
10
Year of publication
1997
Pages
3543 - 3552
Database
ISI
SICI code
0305-4470(1997)30:10<3543:DOTLOA>2.0.ZU;2-7
Abstract
The functional determinant of Laplace-type operators on a three-dimens ional non-compact hyperbolic manifold with invariant fundamental domai n of finite volume is expressed via the Selberg zeta function related to the Picard group SL(2, Z + iZ)/{+/-Id}.