Résumé

Let (?(f) (n))(n=1) be the Hecke eigenvalues of either a holomorphic Hecke eigencuspform or a Hecke-Maass cusp form f. We prove that, for any fixed ? > 0, under the Ramanujan-Petersson conjecture for GL(2) Maass forms, the Rankin-Selberg coefficients (?(f) (n)(2))(n=1) admit a level of distribution ? = 2/5 + 1/260 - ? in arithmetic progressions.

Détails