#### Vol. 11, No. 3, 2017

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On an analogue of the Ichino–Ikeda conjecture for Whittaker coefficients on the metaplectic group

### Erez Lapid and Zhengyu Mao

Vol. 11 (2017), No. 3, 713–765
##### Abstract

In previous papers we formulated an analogue of the Ichino–Ikeda conjectures for Whittaker–Fourier coefficients of automorphic forms on quasisplit classical groups and the metaplectic group of arbitrary rank. In the latter case we reduced the conjecture to a local identity. In this paper we prove the local identity in the $p$-adic case, and hence the global conjecture under simplifying conditions at the archimedean places.

##### Keywords
Whittaker coefficients, metaplectic group, automorphic forms
Primary: 11F30
Secondary: 11F70
##### Milestones
Received: 7 August 2016
Accepted: 16 December 2016
Published: 6 May 2017
##### Authors
 Erez Lapid Department of Mathematics Weizmann Institute of Science 7610001 Rehovot Israel Zhengyu Mao Department of Mathematics and Computer Science Rutgers University Newark, NJ 07102 United States