Geodesic
Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 $L$-Series
Documenta mathematica, Tome 24 (2019), pp. 1935-2036
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We prove an explicit central value formula for a family of complex L-series of degree 6 for GL2​×GL3​ which arise as factors of certain Garret-Rankin triple product L-series associated with modular forms. Our result generalizes a previous formula of Ichino involving Saito-Kurokawa lifts, and as an application we prove Deligne's conjecture stating the algebraicity of the central values of the considered L-series up to the relevant periods.
DOI : 10.4171/dm/719
Classification : 11F27, 11F30, 11F46, 11F67
Mots-clés : central value formula, Saito-Kurokawa lifts, automorphic periods, Gross-Prasad conjecture 
@article{10_4171_dm_719,
     author = {Aprameyo Pal and Carlos de Vera-Piquero},
     title = {Pullbacks of {Saito-Kurokawa} {Lifts} and a {Central} {Value} {Formula} for {Degree} 6 $L${-Series}},
     journal = {Documenta mathematica},
     pages = {1935--2036},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/719},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/719/}
}
TY  - JOUR
AU  - Aprameyo Pal
AU  - Carlos de Vera-Piquero
TI  - Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 $L$-Series
JO  - Documenta mathematica
PY  - 2019
SP  - 1935
EP  - 2036
VL  - 24
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/719/
DO  - 10.4171/dm/719
ID  - 10_4171_dm_719
ER  - 
%0 Journal Article
%A Aprameyo Pal
%A Carlos de Vera-Piquero
%T Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 $L$-Series
%J Documenta mathematica
%D 2019
%P 1935-2036
%V 24
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/719/
%R 10.4171/dm/719
%F 10_4171_dm_719
Aprameyo Pal; Carlos de Vera-Piquero. Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 $L$-Series. Documenta mathematica, Tome 24 (2019), pp. 1935-2036. doi: 10.4171/dm/719

Cité par Sources :