Geodesic
The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points
Philippe Michel1
1 Department of Mathematics, Université Montpellier II, 34095 Montpellier, France
Annals of mathematics, Tome 160 (2004) no. 1, pp. 185-236.

Voir la notice de l'article provenant de la source Annals of Mathematics website

In this paper we solve the subconvexity problem for Rankin-Selberg $L$-functions $L(f\otimes g,s)$ where $f$ and $g$ are two cuspidal automorphic forms over $\mathbb{Q}$, $g$ being fixed and $f$ having large level and nontrivial nebentypus. We use this subconvexity bound to prove an equidistribution property for incomplete orbits of Heegner points over definite Shimura curves.
DOI : 10.4007/annals.2004.160.185

Philippe Michel 1

1 Department of Mathematics, Université Montpellier II, 34095 Montpellier, France 
@article{10_4007_annals_2004_160_185,
     author = {Philippe Michel},
     title = {The subconvexity problem for {Rankin-Selberg} $L$-functions and equidistribution of {Heegner} points},
     journal = {Annals of mathematics},
     pages = {185--236},
     publisher = {mathdoc},
     volume = {160},
     number = {1},
     year = {2004},
     doi = {10.4007/annals.2004.160.185},
     mrnumber = {2119720},
     zbl = {1068.11033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.160.185/}
}
TY  - JOUR
AU  - Philippe Michel
TI  - The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points
JO  - Annals of mathematics
PY  - 2004
SP  - 185
EP  - 236
VL  - 160
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.160.185/
DO  - 10.4007/annals.2004.160.185
LA  - en
ID  - 10_4007_annals_2004_160_185
ER  - 
%0 Journal Article
%A Philippe Michel
%T The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points
%J Annals of mathematics
%D 2004
%P 185-236
%V 160
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.160.185/
%R 10.4007/annals.2004.160.185
%G en
%F 10_4007_annals_2004_160_185
Philippe Michel. The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points. Annals of mathematics, Tome 160 (2004) no. 1, pp. 185-236. doi : 10.4007/annals.2004.160.185. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.160.185/

Cité par Sources :