Geodesic
Gamma Factors, Root Numbers, and Distinction
Canadian journal of mathematics, Tome 70 (2018) no. 3, pp. 683-701

Voir la notice de l'article provenant de la source Cambridge

DOI

We study a relation between distinction and special values of local invariants for representations of the general linear group over a quadratic extension of $p$ -adic fields. We show that the local Rankin–Selberg root number of any pair of distinguished representation is trivial, and as a corollary we obtain an analogue for the global root number of any pair of distinguished cuspidal representations. We further study the extent to which the gamma factor at 1/2 is trivial for distinguished representations as well as the converse problem.
DOI : 10.4153/CJM-2017-011-6
Mots-clés : 11F70, distinguished representation, local constant 
Matringe, Nadir; Offen, Omer. Gamma Factors, Root Numbers, and Distinction. Canadian journal of mathematics, Tome 70 (2018) no. 3, pp. 683-701. doi: 10.4153/CJM-2017-011-6
@article{10_4153_CJM_2017_011_6,
     author = {Matringe, Nadir and Offen, Omer},
     title = {Gamma {Factors,} {Root} {Numbers,} and {Distinction}},
     journal = {Canadian journal of mathematics},
     pages = {683--701},
     year = {2018},
     volume = {70},
     number = {3},
     doi = {10.4153/CJM-2017-011-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-011-6/}
}
TY  - JOUR
AU  - Matringe, Nadir
AU  - Offen, Omer
TI  - Gamma Factors, Root Numbers, and Distinction
JO  - Canadian journal of mathematics
PY  - 2018
SP  - 683
EP  - 701
VL  - 70
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-011-6/
DO  - 10.4153/CJM-2017-011-6
ID  - 10_4153_CJM_2017_011_6
ER  - 
%0 Journal Article
%A Matringe, Nadir
%A Offen, Omer
%T Gamma Factors, Root Numbers, and Distinction
%J Canadian journal of mathematics
%D 2018
%P 683-701
%V 70
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-011-6/
%R 10.4153/CJM-2017-011-6
%F 10_4153_CJM_2017_011_6

Cité par Sources :