30 citations · 102 across the 11 of their papers we have counts for
12 papers
On the convergence of zeta functions of prehomogeneous vector spaces
Tobias Finis, Erez Lapid
We prove a general convergence result for zeta functions of prehomogeneous vector spaces extending results of H. Saito, F. Sato and Yukie. Our analysis points to certain subspaces…
On the remainder term of the Weyl law for congruence subgroups of Chevalley groups
Tobias Finis, Erez Lapid
Let be a locally symmetric space defined by a simple Chevalley group and a congruence subgroup of . In this generality, the Weyl law for was proved by Lin…
On the asymptotics of Hecke operators for reductive groups
Tobias Finis, Jasmin Matz
In this paper, we study the asymptotic behavior of the traces of Hecke operators for spherical discrete automorphic representations of fixed level on general split reductive groups…
The subregular unipotent contribution to the geometric side of the Arthur trace formula for the split exceptional group
Tobias Finis, Werner Hoffmann, Satoshi Wakatsuki
In this paper, a zeta integral for the space of binary cubic forms is associated with the subregular unipotent contribution to the geometric side of the Arthur trace formula for th…
On the analytic properties of intertwining operators II: local degree bounds and limit multiplicities
Tobias Finis, Erez Lapid
In this paper we continue to study the degrees of matrix coefficients of intertwining operators associated to reductive groups over -adic local fields. Together with previous an…
On the analytic properties of intertwining operators I: global normalizing factors
Tobias Finis, Erez Lapid
We provide a uniform estimate for the -norm (over any interval of bounded length) of the logarithmic derivatives of global normalizing factors associated to intertwining opera…
On the continuity of the geometric side of the trace formula
Tobias Finis, Erez Lapid
We extend the geometric side of Arthur's non-invariant trace formula for a reductive group defined over continuously to a natural space $\mathcal{C}(G(\mathbb{A}^1…
An approximation principle for congruence subgroups II: application to the limit multiplicity problem
Tobias Finis, Erez Lapid
This is a sequel to arXiv:1308.3604. We study applications to limit multiplicity generalizing the results of arXiv:1208.2257.
An approximation principle for congruence subgroups
Tobias Finis, Erez Lapid
The motivating question of this paper is roughly the following: given a group scheme over , prime, with semisimple generic fiber , how far a…
Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes
Tobias Finis, Erez Lapid
We study the exactness of certain combinatorially defined complexes which generalize the Orlik-Solomon algebra of a geometric lattice. The main results pertain to complex reflectio…
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…
The cohomology of lattices in SL(2,C)
Tobias Finis, Fritz Grunewald, Paulo Tirao
This paper contains both theoretical results and experimental data on the behavior of the dimensions of the cohomology spaces H^1(G,E_n), where Gamma is a lattice in SL(2,C) and E_…