-
Whittaker-Fourier coefficients of cusp forms on $\widetilde{\rm Sp}_n$: reduction to a Local Statement
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 139, Number 1, February 2017
- pp. 1-55
- 10.1353/ajm.2017.0000
- Article
- Additional Information
abstract:
In a previous paper we formulated an analogue of the Ichino-Ikeda conjectures for Whittaker-Fourier coefficients of cusp forms on quasi-split groups, as well as the metaplectic group of arbitrary rank. In this paper we reduce the conjecture for the metaplectic group to a local conjectural identity. We motivate this conjecture by giving a heuristic argument for the case $\widetilde{\rm SL}_2$. In a subsequent paper we will prove the local identity in the $p$-adic case.