On -adic -functions for symplectic representations of GL(N) over number fields
C Williams - arXiv preprint arXiv:2305.07809, 2023 - arxiv.org
Let $ F $ be a number field, and $\pi $ a regular algebraic cuspidal automorphic
representation of $\mathrm {GL} _N (\mathbb {A} _F) $ of symplectic type. When $\pi $ is …
representation of $\mathrm {GL} _N (\mathbb {A} _F) $ of symplectic type. When $\pi $ is …
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} …
$\mathrm {GL} _ {2n}(\mathbb {A}) $, $\pi $ is a functorial transfer from $\mathrm {GSpin} …