Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1337

 Title: Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function Authors: Gušić, Dženan Keywords: Selberg Zeta FunctionSelberg Trace FormulaDegenerating Hyperbolic Manifolds Issue Date: 2010 Publisher: Bulgarian Academy of Sciences - National Committee for Mathematics Citation: Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 243p-251p Abstract: We point out the importance of the integral representations of the logarithmic derivative of the Selberg zeta function valid up to the critical line, i.e. in the region that includes the right half of the critical strip, where the Euler product deﬁnition of the Selberg zeta function does not hold. Most recent applications to the behavior of the Selberg zeta functions associated to a degenerating sequence of ﬁnite volume, hyperbolic manifolds of dimension 2 and 3 are surveyed. The research problem consists in extending this kind of integral representations to the setting of the locally symmetric spaces of rank 1. Description: AMS Subj. Classiﬁcation: MSC2010: 11F72, 11M36, 58J37 URI: http://hdl.handle.net/10525/1337 ISSN: 0205-3217 Appears in Collections: Mathematica Balkanica New Series, Vol. 24, 2010, Fasc. 3-4

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