Unitary Friedberg-Jacquet periods
Representation Theory
2022-08-29 v3
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.
Cite
@article{arxiv.2108.04064,
title = {Unitary Friedberg-Jacquet periods},
author = {Rui Chen and Wee Teck Gan},
journal= {arXiv preprint arXiv:2108.04064},
year = {2022}
}
Comments
30 pages