SUBCONVEX EQUIDISTRIBUTION OF CUSP FORMS: REDUCTION TO EISENSTEIN OBSERVABLES

摘要

Let pi traverse a sequence of cuspidal automorphic representations of GL(2) with large prime level, unramified central character, and bounded infinity type. For G is an element of {GL(1), PGL(2)}, let H (G) denote the assertion that subconvexity holds for G-twists of the adjoint L-function of pi, with polynomial dependence upon the conductor of the twist. We show that H(GL(1)) implies H(PGL(2)).