THE WEYL BOUND FOR TRIPLE PRODUCT L-FUNCTIONS

摘要

Let n1, n2, n3 be three cuspidal automorphic representations for the group SL(2, Z), where n1 and n2 are fixed and n3 has large analytic conductor. We prove a subconvex bound for L(1/2, n1 (R) n2 (R) n3) of Weyl-type quality. Allowing n3 to be an Eisenstein series, we also obtain a Weyl-type subconvex bound for L(1/2 + i t, n1 (R) n2).