On -refined Friedberg-Jacquet integrals and the classical symplectic locus in the eigenvariety

DB Salazar, A Graham, C Williams - arXiv preprint arXiv:2308.02649, 2023 - arxiv.org
Friedberg--Jacquet proved that if $\pi $ is a cuspidal automorphic representation of
$\mathrm {GL} _ {2n}(\mathbb {A}) $, $\pi $ is a functorial transfer from $\mathrm {GSpin} …