A Prime Number Theorem for Rankin-Selberg L-functions over Number fields

Tim Gillespie, Guanghua Ji

We prove a prime number theorem first for the classical Rankin-Selberg L-function $L(s,\pi \times {\pi }^{\prime })$ over any Galois extension with $\pi$ and ${\pi }^{\prime }$ unitary automorphic cuspidal represen…