Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 459-485 |
| Number of pages | 27 |
| Journal | Israel Journal of Mathematics |
| Volume | 246 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 2021 |
Bibliographical note
Funding 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.
Funding Information:
Kaplan was supported by the Israel Science Foundation, grant number 421/17.
Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.