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On the Rankin–Selberg L-factors for SO5 × GL2
Israel Journal of Mathematics ( IF 1 ) Pub Date : 2023-11-29 , DOI: 10.1007/s11856-023-2580-y
Yao Cheng

Let π and τ be irreducible smooth generic representations of SO5 and GL2 respectively over a non-archimedean local field. We show that the L- and ε-factors attached to π×π defined by the Rankin–Selberg integrals and the associated Weil–Deligne representation coincide. The proof is obtained by explicating the relation between the Rankin–Selberg integrals for SO5 × GL2 and Novodvorsky’s local integrals for GSp4× GL2.

更新日期:2023-11-29
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