42 citations · 135 across the 14 of their papers we have counts for
14 papers
On the absolute convergence of the spectral side of the twisted trace formula
Werner Müller, Satoshi Wakatsuki
We establish the absolute convergence of the spectral side of the twisted trace formula for reductive algebraic groups. More precisely, we extend the absolute convergence theorem o…
The Weyl law for congruence subgroups and arbitrary -types
Werner Mueller
Let be a reductive algebraic group over and an arithmetic subgroup. Let be a maximal compact subgroup. We…
Analytic torsion for arithmetic locally symmetric manifolds and approximation of -torsion
Jasmin Matz, Werner Mueller
In this paper we define a regularized version of the analytic torsion for quotients of a symmetric space of non-positive curvature by arithmetic lattices. The definition is based o…
Analytic torsion of arithmetic quotients of the symmetric space SL(n,R)/SO(n)
Jasmin Matz, Werner Mueller
In this paper we define a regularized version of the analytic torsion for arithmetic quotients of the symmetric space SL(n,R)/\SO(n). The definition is based on the study of the re…
Asymptotics of automorphic spectra and the trace formula
Werner Mueller
This paper is a survey article on the limiting behavior of the discrete spectrum of the right regular representation in $L^2(Γ\bs G)$ for a lattice in a reductive group ove…
On the analytic torsion of hyperbolic manifolds of finite volume
Werner Mueller
In this paper we study the analytic torsion for a complete oriented hyperbolic manifold of finite volume. This requires the definition of a regularized trace of heat operators. We…
The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume
Werner Mueller, Jonathan Pfaff
In this paper we study the regularized analytic torsion of finite volume hyperbolic manifolds. We consider sequences of coverings of a fixed hyperbolic orbifold . Our ma…
Limit multiplicities for principal congruence subgroups of GL(n) and SL(n)
Tobias Finis, Erez Lapid, Werner Mueller
We study the limiting behavior of the discrete spectra associated to the principal congruence subgroups of a reductive group over a number field. While this problem is well underst…
Analytic torsion and L^2-torsion of compact locally symmetric manifolds
Werner Mueller, Jonathan Pfaff
In this paper we study the analytic torsion and the -torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fu…
On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
Simon Marshall, Werner Mueller
In this paper we consider the cohomology of a closed arithmetic hyperbolic 3-manifold with coefficients in the local system defined by the even symmetric powers of the standard rep…
The Metric Anomaly of Analytic Torsion on Manifolds with Conical Singularities
Werner Mueller, Boris Vertman
In this paper we study the analytic torsion of an odd-dimensional manifold with isolated conical singularities. First we show that the analytic torsion is invariant under deformati…
The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds
Werner Mueller
In this paper we consider the analytic torsion of a closed hyperbolic 3-manifold associated with the m-th symmetric power of the standard representation of SL(2,C) and we study its…
Scattering at low energies on manifolds with cylindrical ends and stable systoles
Werner Mueller, Alexander Strohmaier
Scattering theory for p-forms on manifolds with cylindrical ends has a direct interpretation in terms of cohomology. Using the Hodge isomorphism,the scattering matrix at low energy…
Spectral asymptotics for arithmetic quotients of SL(n,R)/SO(n)
Erez Lapid, Werner Mueller
In this paper we study the asymptotic distribution of the cuspidal spectrum of arithmetic quotients of the symmetric space S=SL(n,R)/SO(n). In particular, we obtain Weyl's law with…