On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups
A Ichino, E Lapid, Z Mao - 2017 - projecteuclid.org
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 adjoint γ …
representation of a reductive group over a local field to the special value of the adjoint γ …
On the local Bump–Friedberg L-function
N Matringe - Journal für die reine und angewandte Mathematik …, 2015 - degruyter.com
Let F be ap-adic field. If π be an irreducible representation of GL (n, F), Bump and Friedberg
associated to π an Euler factor L (π, 𝐵𝐹, s 1, s 2) in [Festschrift in honor of II Piatetski …
associated to π an Euler factor L (π, 𝐵𝐹, s 1, s 2) in [Festschrift in honor of II Piatetski …
[HTML][HTML] Linear and Shalika local periods for the mirabolic group, and some consequences
N Matringe - Journal of Number Theory, 2014 - Elsevier
Using linear periods on the mirabolic subgroup of GL (n, F), for F a nonarchimedean local
field, we give a list of the maximal Levi subgroups of GL (n, F) which can distinguish discrete …
field, we give a list of the maximal Levi subgroups of GL (n, F) which can distinguish discrete …
Repr\'esentations cuspidales de GL (r, D) distingu\'ees par une involution int\'erieure
V Sécherre - arxiv preprint arxiv:2005.05615, 2020 - arxiv.org
Let n be a positive integer, F be a non-Archimedean locally compact field of odd residue
characteristic p and G be an inner form of GL (2n, F). This is a group of the form GL (r, D) for …
characteristic p and G be an inner form of GL (2n, F). This is a group of the form GL (r, D) for …
Whittaker-Fourier coefficients of cusp forms on : reduction to a Local Statement
E Lapid, Z Mao - American Journal of Mathematics, 2017 - muse.jhu.edu
In a previous paper we formulated an analogue of the Ichino-Ikeda conjectures for Whittaker-
Fourier coefficients of cusp forms on quasi-split groups, as well as the metaplectic group of …
Fourier coefficients of cusp forms on quasi-split groups, as well as the metaplectic group of …
Relative discrete series representations for two quotients of p-adic GLn
JM Smith - Canadian Journal of Mathematics, 2018 - cambridge.org
We provide an explicit construction of representations in the discrete spectrum of two of
characteristic zero and odd residual characteristic. The proof of the main result involves an …
characteristic zero and odd residual characteristic. The proof of the main result involves an …
Derivatives and exceptional poles of the local exterior square L-function for
Y Jo - Mathematische Zeitschrift, 2020 - Springer
Let π π be an irreducible admissible representation of GL_m (F) GL m (F), where F is a non-
archimedean local field of characteristic zero. In 1990's Jacquet and Shalika established an …
archimedean local field of characteristic zero. In 1990's Jacquet and Shalika established an …
A local trace formula for the generalized Shalika model
R Beuzart-Plessis, C Wan - 2019 - projecteuclid.org
We study a local multiplicity problem related to so-called generalized Shalika models. By
establishing a local trace formula for these kinds of models, we are able to prove a …
establishing a local trace formula for these kinds of models, we are able to prove a …
Unitary Friedberg-Jacquet periods
R Chen, WT Gan - arxiv preprint arxiv:2108.04064, 2021 - arxiv.org
The main goal of this paper is to study the unitary Friedberg-Jacquet period through their
connection with the unitary Shalika period. Locally we study the multiplicity of unitary …
connection with the unitary Shalika period. Locally we study the multiplicity of unitary …
Shalika periods and parabolic induction for over a non‐archimedean local field
N Matringe - Bulletin of the London Mathematical Society, 2017 - Wiley Online Library
Let F be a non‐archimedean local field, and n 1 and n 2 two positive even integers. We
prove that if π 1 and π 2 are two smooth representations of GL (n 1, F) and GL (n 2, F) …
prove that if π 1 and π 2 are two smooth representations of GL (n 1, F) and GL (n 2, F) …