Abstract: | Let π and π' be automorphic irreducible cuspidal representations of GLm (QA) and GLm', (QA), respectively, and L(s,π×(~π)') be the Rankin-Selberg L-function attached to π and π'. Without assuming the Generalized Ramanujan Conjecture (GRC), the author gives the generalized prime number theorem for L(s, π×(~π)') when π(=)π'. The result generalizes the corresponding result of Liu and Ye in 2007. |