Results 11 to 20 of about 312 (39)

Une remarque sur le degré formel d’une série discrète d’un groupe linéaire général $p$-adique [PDF]

, 2006
International ...
Heiermann, Volker
core   +2 more sources

Profinite and finite groups associated with loop and diffeomorphism groups of non‐Archimedean manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2673-2688, 2003., 2003
We investigate p‐adic completions of clopen (i.e., closed and open at the same time) subgroups W of loop groups and diffeomorphism groups G of compact manifolds over non‐Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits,
S. V. Ludkovsky, B. Diarra
wiley   +1 more source

Distinguished representations, base change, and reducibility for unitary groups [PDF]

, 2004
We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E).
Anandavardhanan, U. K., Rajan, C. S.
core   +2 more sources

Slopes of modular forms and the ghost conjecture [PDF]

, 2017
We formulate a conjecture on slopes of overconvergent p-adic cuspforms of any p-adic weight in the Gamma_0(N)-regular case. This conjecture unifies a conjecture of Buzzard on classical slopes and more recent conjectures on slopes "at the boundary of ...
Bergdall, John, Pollack, Robert
core   +7 more sources

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

, 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

Towards the Jacquet conjecture on the local converse problem for p-adic GL(n) [PDF]

, 2015
The Local Converse Problem is to determine how the family of twisted local gamma factors characterizes the isomorphism class of an irreducible admissible generic representation of GL(n,F), with F a non-archimedean local field, where the twists run ...
Jiang, Dihua, Nien, Chufeng, Stevens, Shaun   +2 more
core   +2 more sources

Unramified Whittaker functions on the metaplectic group

, 1987
Kazhdan (unpublished), Shintani [Sh] and Casselman and Shalika [CS] computed explicitly the unramified Whittaker function of a quasisplit p-adic group. This is the main local ingredient used in the RankinSelberg-Shimura method, which yielded interesting ...
Y. Flicker
semanticscholar   +1 more source

On local Galois deformation rings: generalised tori

Forum of Mathematics, Sigma
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised tori, such as L-groups of (possibly non-split) tori.
Vytautas Paškūnas, Julian Quast
doaj   +1 more source

Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution

Forum of Mathematics, Sigma
Let ${ F}/{ F}_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq 2$ with Galois automorphism $\sigma $ , and let R be an algebraically closed field of characteristic $\ell ...
Robert Kurinczuk, Nadir Matringe, Vincent Sécherre   +2 more
doaj   +1 more source

"Divergent" Ramanujan-type supercongruences

, 2010
"Divergent" Ramanujan-type series for $1/\pi$ and $1/\pi^2$ provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases.
Guillera, Jesús, Zudilin, Wadim
core   +2 more sources