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arXiv · 2108.04064

Unitary Friedberg-Jacquet periods

Rui Chen·Wee Teck Gan
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Abstract

The main goal of this paper is to study the unitary Friedberg-Jacquet period through their connection with the unitary Shalika period. Locally we study the multiplicity of unitary Friedberg-Jacquet periods for discrete series. Globally we prove one direction of a conjecture of Xiao-Zhang, stating that the non-vanishing of a global unitary Friedberg-Jacquet period implies the non-vanishing of the central value of the (twisted) standard L-function.

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Rui Chen, Wee Teck Gan. 2021-08-09. Unitary Friedberg-Jacquet periods. https://arxiv.org/abs/2108.04064

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