Extreme values of geodesic periods on arithmetic hyperbolic surfaces
Valeurs extrêmes des périodes géodésiques sur les surfaces hyperboliques arithmétiques
Résumé
Given a closed geodesic on a compact arithmetic hyperbolic surface, we show the existence of a sequence of Laplacian eigenfunctions whose integrals along the geodesic exhibit nontrivial growth. Via Waldspurger's formula we deduce a lower bound for central values of Rankin–Selberg L-functions of Maass forms times theta series associated to real quadratic fields.
| Origine | Fichiers produits par l'(les) auteur(s) |
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