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arXiv · 1401.0198

Whittaker-Fourier coefficients of cusp forms on $\widetilde{Sp}_n$: reduction to a local statement

Erez Lapid·Zhengyu Mao
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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 $\widetilde{SL}_2$. In a subsequent paper we will prove the local identity in the $p$-adic case.

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Erez Lapid, Zhengyu Mao. 2013-12-31. Whittaker-Fourier coefficients of cusp forms on $\widetilde{Sp}_n$: reduction to a local statement. https://doi.org/10.1353/ajm.2017.0000

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