Results 1 to 10 of about 670 (57)

A nonabelian trace formula [PDF]

open access: yesResearch in the Mathematical Sciences, 2015
Let E/F be an everywhere unramified extension of number fields with Gal(E/F) simple and nonabelian. In a recent paper, the first named author suggested an approach to nonsolvable base change and descent of automorphic representations of GL2 along such an
Jayce R. Getz, Paul Edward Herman
semanticscholar   +2 more sources

Local newforms for the general linear groups over a non-archimedean local field

open access: yesForum of Mathematics, Pi, 2022
In [14], Jacquet–Piatetskii-Shapiro–Shalika defined a family of compact open subgroups of p-adic general linear groups indexed by nonnegative integers and established the theory of local newforms for irreducible generic representations. In this paper, we
Hiraku Atobe   +2 more
doaj   +1 more source

Automorphy lifting with adequate image

open access: yesForum of Mathematics, Sigma, 2023
Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
doaj   +1 more source

Equidimensionality of universal pseudodeformation rings in characteristic p for absolute Galois groups of p-adic fields

open access: yesForum of Mathematics, Sigma, 2023
Let K be a finite extension of the p-adic field ${\mathbb {Q}}_p$ of degree d, let ${{\mathbb {F}}\,\!{}}$ be a finite field of characteristic p and let ${\overline {{D}}}$ be an n-dimensional pseudocharacter in the sense of ...
Gebhard Böckle, Ann-Kristin Juschka
doaj   +1 more source

ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF $p$-ADIC REDUCTIVE GROUPS

open access: yesForum of Mathematics, Sigma, 2020
Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/\mathbb{Q}_{p}$ and that $C$ is a field of characteristic $p$. We prove that the group $\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently ...
FLORIAN HERZIG   +2 more
doaj   +1 more source

A Theorem on Analytic Strong Multiplicity One [PDF]

open access: yes, 2008
Let $K$ be an algebraic number field, and $\pi=\otimes\pi_{v}$ an irreducible, automorphic, cuspidal representation of $\GL_{m}(\mathbb{A}_{K})$ with analytic conductor $C(\pi)$.
Liu, Jianya, Wang, Yonghui
core   +3 more sources

On strong multiplicity one for automorphic representations [PDF]

open access: yes, 2002
We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let $\pi$ be a unitary, cuspidal, automorphic representation of $GL_n(\A_K)$. Let $S$ be a set of finite places of $K$, such that the sum $\sum_{v\in S}Nv^{-2/(n^2+1)
Rajan, C. S.
core   +2 more sources

DÉCOMPOSITION SPECTRALE ET REPRÉSENTATIONS SPÉCIALES D’UN GROUPE RÉDUCTIF $p$-ADIQUE [PDF]

open access: yesJournal of the Institute of Mathematics of Jussieu, 2002
Soit $G$ un groupe réductif $p$-adique connexe. Nous effectuons une décomposition spectrale sur $G$ à partir de la formule d’inversion de Fourier utilisée dans ‘Une formule de Plancherel pour l’algèbre de Hecke d’un groupe réductif $p$-adique’, V ...
V. Heiermann
semanticscholar   +1 more source

Perron’s Formula and the Prime Number Theorem for Automorphic L-Functions

open access: yes, 2007
In this paper the classical Perron’s formula is modified so that it now depends no longer on sizes of individual terms but on a sum over a short interval.
Jianya Liu, Y. Ye
semanticscholar   +1 more source

On the search of genuine p-adic modular L-functions for GL(n)

open access: yes, 1996
The purpose of this monograph is to state several conjectures concerning the existence and the meromorphy of many variable p-adic L-functions attached to many variable Galois representations (for example having values in GLn(^-p[[X^,...
H. Hida
semanticscholar   +1 more source

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