The Selberg Trace Formula and Selberg Zeta-Function for Cofinite Kleinian Groups with Finite Dimensional Unitary Representations: Stony Brook University PhD Thesis

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dc.creatorFriedman, Joshua S.
dc.date2006-12-28
dc.date.accessioned2026-07-07T07:37:28Z
dc.date.available2026-07-07T07:37:28Z
dc.descriptionFor cofinite Kleinian groups, with finite-dimensional unitary representations, we derive the Selberg trace formula. As an application we define the corresponding Selberg zeta-function and compute its divisor, thus generalizing results of Elstrodt, Grunewald and Mennicke to non-trivial unitary representations. We show that the presence of cuspidal elliptic elements sometimes adds ramification point to the zeta function. In fact, if D is the ring of Eisenstein integers, then the Selberg zeta-function of PSL(2,D) contains ramification points.
dc.descriptionStony Brook University PhD Thesis from May of 2005
dc.identifierhttps://arxiv.org/abs/math/0612807
dc.identifierhttp://arxiv.org/abs/math/0612807
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120787
dc.subjectNumber Theory
dc.subjectSpectral Theory
dc.subject11F72; 11M36
dc.titleThe Selberg Trace Formula and Selberg Zeta-Function for Cofinite Kleinian Groups with Finite Dimensional Unitary Representations: Stony Brook University PhD Thesis
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