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arXiv · 1404.2905

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

Erez Lapid·Zhengyu Mao
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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.

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Erez Lapid, Zhengyu Mao. 2016-12-18. On an analogue of the Ichino--Ikeda conjecture for Whittaker coefficients on the metaplectic group. https://doi.org/10.2140/ant.2017.11.713

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