Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function

Gušić, 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 -