# Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function

Mathematica Balkanica New Series (2010)

- Volume: 24, Issue: 3-4, page 243-251
- ISSN: 0205-3217

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topGušić, Dženan. "Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function." Mathematica Balkanica New Series 24.3-4 (2010): 243-251. <http://eudml.org/doc/11345>.

@article{Gušić2010,

abstract = {AMS Subj. Classiﬁcation: MSC2010: 11F72, 11M36, 58J37We 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.},

author = {Gušić, Dženan},

journal = {Mathematica Balkanica New Series},

keywords = {Selberg Zeta Function; Selberg Trace Formula; Degenerating Hyperbolic Manifolds; Selberg zeta function; Selberg trace formula; degenerating hyperbolic manifolds},

language = {eng},

number = {3-4},

pages = {243-251},

publisher = {Bulgarian Academy of Sciences - National Committee for Mathematics},

title = {Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function},

url = {http://eudml.org/doc/11345},

volume = {24},

year = {2010},

}

TY - JOUR

AU - Gušić, Dženan

TI - Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function

JO - Mathematica Balkanica New Series

PY - 2010

PB - Bulgarian Academy of Sciences - National Committee for Mathematics

VL - 24

IS - 3-4

SP - 243

EP - 251

AB - AMS Subj. Classiﬁcation: MSC2010: 11F72, 11M36, 58J37We 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.

LA - eng

KW - Selberg Zeta Function; Selberg Trace Formula; Degenerating Hyperbolic Manifolds; Selberg zeta function; Selberg trace formula; degenerating hyperbolic manifolds

UR - http://eudml.org/doc/11345

ER -

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