arXiv Open Access 2021

Unitary Friedberg-Jacquet periods

Rui Chen Wee Teck Gan

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Abstrak

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.

Topik & Kata Kunci

math.RT

Penulis (2)

Rui Chen

Wee Teck Gan

Format Sitasi

APA MLA BibTeX

Chen, R., Gan, W.T. (2021). Unitary Friedberg-Jacquet periods. https://arxiv.org/abs/2108.04064

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓