Let q > 2 be a prime number, chi a primitive Dirichlet character modulo q and f a primitive holomorphic cusp form or a Hecke-Maass cusp form of level q and trivial nebentypus. We prove the subconvex bound L(1/2, f circle times chi) << q(1/2) (1/12 vertical bar epsilon), where the implicit constant depends only on the archimedean parameter of f and epsilon. The main input is a modifying trivial delta method developed in [1].
展开▼