This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to over for an even positive integer n. The proof follows from studying the rank-one Eisenstein cohomology for .
Dans cette Note, nous présentons des résultats de rationalité pour les valeurs critiques des fonctions L de degré 2n, attachées à sur , où n est un entier positif. La preuve résulte d'une étude de la cohomologie d'Eisenstein de rang un, pour .
Accepted:
Published online:
Chandrasheel Bhagwat 1; A. Raghuram 1
@article{CRMATH_2017__355_3_263_0, author = {Chandrasheel Bhagwat and A. Raghuram}, title = {Special values of {\protect\emph{L}-functions} for orthogonal groups}, journal = {Comptes Rendus. Math\'ematique}, pages = {263--267}, publisher = {Elsevier}, volume = {355}, number = {3}, year = {2017}, doi = {10.1016/j.crma.2017.01.016}, language = {en}, }
Chandrasheel Bhagwat; A. Raghuram. Special values of L-functions for orthogonal groups. Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 263-267. doi : 10.1016/j.crma.2017.01.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.01.016/
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