Newforms of Saito-Kurokawa lifts
Number Theory
2021-02-02 v2 Representation Theory
Abstract
A new- and old-form theory for Bessel periods of Saito-Kurokawa representations is given. We introduce arithmetic subgroups so that a local Bessel vector fixed by the subgroup indexed by the conductor of the representation is unique up to scalars. The global Langlands L-function of a holomorphic Saito-Kurokawa representation coincides with a canonically settled Piatetski-Shapiro zeta integral of the newform.
Keywords
Cite
@article{arxiv.2101.09982,
title = {Newforms of Saito-Kurokawa lifts},
author = {Takeo Okazaki},
journal= {arXiv preprint arXiv:2101.09982},
year = {2021}
}