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The twisted Selberg trace formula and the twisted Selberg zeta function for compact orbifolds
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AbstractWe propose a version of the Selberg trace formula for compact hyperbolic orbifolds $$\Gamma \backslash {\mathbb {H}}^{2n+1}$$
Γ
\
H
2
n
+
1
for non-unitary representations of $$\Gamma $$
Γ
and establish that the associated Selberg zeta function admits a meromorphic continuation to $${\mathbb {C}}$$
C
.
Title: The twisted Selberg trace formula and the twisted Selberg zeta function for compact orbifolds
Description:
AbstractWe propose a version of the Selberg trace formula for compact hyperbolic orbifolds $$\Gamma \backslash {\mathbb {H}}^{2n+1}$$
Γ
\
H
2
n
+
1
for non-unitary representations of $$\Gamma $$
Γ
and establish that the associated Selberg zeta function admits a meromorphic continuation to $${\mathbb {C}}$$
C
.
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