Abstract
In this paper we define a Rankin-Selberg L-function attached to automorphic cuspidal representations of GL m (\( \mathbb{A} \) E ) × GL m′ (\( \mathbb{A} \) F ) over cyclic algebraic number fields E and F which are invariant under the Galois action, by exploiting a result proved by Arthur and Clozel, and prove a prime number theorem for this L-function.
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Gillespie, T., Ji, G. Prime number theorems for Rankin-Selberg L-functions over number fields. Sci. China Math. 54, 35–46 (2011). https://doi.org/10.1007/s11425-010-4137-x
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DOI: https://doi.org/10.1007/s11425-010-4137-x