On an analogue of the Ichino--Ikeda conjecture for Whittaker coefficients on the metaplectic group
Abstract
In previous papers we formulated an analogue of the Ichino--Ikeda conjectures for Whittaker--Fourier coefficients of automorphic forms on classical group and the metaplectic group. In the latter case we reduced the conjecture to a local identity. In this paper we will prove the local identity in the $p$-adic case, and hence the global conjecture under simplifying conditions at the archimedean places.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2014
- DOI:
- 10.48550/arXiv.1404.2905
- arXiv:
- arXiv:1404.2905
- Bibcode:
- 2014arXiv1404.2905L
- Keywords:
-
- Mathematics - Number Theory;
- 11F30;
- 11F70
- E-Print:
- stylistic changes since last version to appear in Algebra and Number Theory