Abstract
The Selberg trace formula for automorphic forms of weight m {epsilon}- Z, on bordered Riemann surfaces is developed. The trace formula is formulated for arbitrary Fuchsian groups of the first kind which include hyperbolic, elliptic and parabolic conjugacy classes. In the case of compact bordered Riemann surfaces we can explicitly evaluate determinants of Maass-Laplacians for both Dirichlet and Neumann boundary-conditions, respectively. Some implications for the open bosonic string theory are mentioned. (orig.).
Bolte, J;
[1]
Grosche, C
[2]
- Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
- International School for Advanced Studies, Trieste (Italy)
Citation Formats
Bolte, J, and Grosche, C.
Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians.
Germany: N. p.,
1992.
Web.
Bolte, J, & Grosche, C.
Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians.
Germany.
Bolte, J, and Grosche, C.
1992.
"Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians."
Germany.
@misc{etde_10104289,
title = {Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians}
author = {Bolte, J, and Grosche, C}
abstractNote = {The Selberg trace formula for automorphic forms of weight m {epsilon}- Z, on bordered Riemann surfaces is developed. The trace formula is formulated for arbitrary Fuchsian groups of the first kind which include hyperbolic, elliptic and parabolic conjugacy classes. In the case of compact bordered Riemann surfaces we can explicitly evaluate determinants of Maass-Laplacians for both Dirichlet and Neumann boundary-conditions, respectively. Some implications for the open bosonic string theory are mentioned. (orig.).}
place = {Germany}
year = {1992}
month = {Aug}
}
title = {Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians}
author = {Bolte, J, and Grosche, C}
abstractNote = {The Selberg trace formula for automorphic forms of weight m {epsilon}- Z, on bordered Riemann surfaces is developed. The trace formula is formulated for arbitrary Fuchsian groups of the first kind which include hyperbolic, elliptic and parabolic conjugacy classes. In the case of compact bordered Riemann surfaces we can explicitly evaluate determinants of Maass-Laplacians for both Dirichlet and Neumann boundary-conditions, respectively. Some implications for the open bosonic string theory are mentioned. (orig.).}
place = {Germany}
year = {1992}
month = {Aug}
}