68 citations · 421 across the 29 of their papers we have counts for
13 papers · 1 filter
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 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.
On Whittaker--Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
Erez Lapid, Zhengyu Mao
We study Whittaker--Fourier coefficients of automorphic forms on a quasi-split unitary group. We reduce the analogue of the Ichino--Ikeda conjectures to a conjectural local stateme…
On parabolic induction on inner forms of the general linear group over a non-archimedean local field
Erez Lapid, Alberto Mínguez
We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a nece…
Whittaker rational structures and special values of the Asai -function
Harald Grobner, Michael Harris, Erez Lapid
Let be a totally real number field and a totally imaginary quadratic extension of . Let be a cohomological, conjugate self-dual cuspidal automorphic representation…
On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups
Atsushi Ichino, Erez Lapid, Zhengyu Mao
The formal degree conjecture relates the formal degree of an irreducible square-integrable representation of a reductive group over a local field to the special value of the adjoin…
On an analogue of the Ichino--Ikeda conjecture for Whittaker coefficients on the metaplectic group
Erez Lapid, Zhengyu Mao
In previous papers we formulated an analogue of the Ichino--Ikeda conjectures for Whittaker--Fourier coefficients of automorphic forms on classical group and the metaplectic group.…
Model transition for representations of metaplectic type
Erez Lapid, Zhengyu Mao
We study the interplay between different models of the same irreducible representation of the -points of a reductive group over a local field.
A conjecture on Whittaker-Fourier coefficients of cusp forms
Erez Lapid, Zhengyu Mao
We formulate an analogue of the Ichino-Ikeda conjectures for the Whittaker-Fourier coefficients of automorphic forms on quasi-split reductive groups. This sharpens the conjectures…