Let π be a simple supercuspidal representation of the split even special orthogonal group. We compute the Rankin-Selberg γ-factors for rank 1-twists of π by quadratic tamely ramified characters of F*. Our results determine certain 1-dimensional summands of the Langlands parameter. Assuming an expected analogue of a work of Blondel, Henniart, and Stevens, these summands completely determine the Langlands parameter of π.
Bibliographical noteFunding Information:
Support to Adrian was provided by a grant from the Simons Foundation #422638 and by a PSC-CUNY award #62533-00, jointly funded by the Professional Staff Congress and The City University of New York.
Kaplan was supported by the Israel Science Foundation, grant number 421/17.
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