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20072026
most citedOn the torsion in the cohomology of arithmetic hyperbolic 3-manifolds

42 citations · 135 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.RT2026

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…

math.RT2020

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…

math.RT2016★ 3 cited

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…

math.RT2015

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…

math.RT2012★ 30 cited

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…

math.RT2007★ 32 cited

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…