Selberg and Ruelle zeta functions and the relative analytic torsion on complete odd-dimensional hyperbolic manifolds of finite volume
Selberg and Ruelle zeta functions and the relative analytic torsion on complete odd-dimensional hyperbolic manifolds of finite volume

dc.contributor.advisor | Müller, Werner | |
dc.contributor.author | Pfaff, Jonathan | |
dc.date.accessioned | 2020-04-18T00:56:35Z | |
dc.date.available | 2020-04-18T00:56:35Z | |
dc.date.issued | 27.08.2012 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/5368 | |
dc.description.abstract | Let X be a complete hyperbolic manifold of finite volume and of odd dimension d. Firstly, we study Selberg zeta functions on X, prove that these functions have a meromorphic continuation to the entire complex plane and describe their singularities. Secondly, we define the relative or regularized analytic torsion of X associated to certain representations of its fundamental group. We investigate the asymptotic behaviour of this torsion with respect to special sequences of representations. Finally, if X is 3-dimensional, we establish a relation between the regularized analytic torsion and the behaviour of a twisted Ruelle zeta function at 0. Our work generalizes results of Fried, Bunke and Olbrich, Bröcker and Wotzke to the non-compact case and results of Müller to the non-compact and higher-dimensional situation. | en |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Selbergsche Zetafunktion | |
dc.subject | Ruellesche Zetafunktion | |
dc.subject | Analytische Torsion | |
dc.subject | Hyperbolische Mannigfaltigkeiten | |
dc.subject | Selbergsche Spurformel | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Selberg and Ruelle zeta functions and the relative analytic torsion on complete odd-dimensional hyperbolic manifolds of finite volume | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5n-29533 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 2953 | |
ulbbnediss.date.accepted | 11.07.2012 | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Hoffmann, Werner |
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