Nearly holomorphic automorphic forms on Sp(2n) with sufficiently regular infinitesimal characters and applications
Number Theory
2022-03-09 v1 Representation Theory
Abstract
In this paper, we decompose the space of nearly holomorphic Hilbert-Siegel automorphic forms as representations of the adele group under certain assumptions. We also give an application for classical holomorphic Hilbert-Siegel modular forms. In particular, we show the surjectivity of the global Siegel operator for certain congruence subgroups with large weights.
Keywords
Cite
@article{arxiv.2006.04668,
title = {Nearly holomorphic automorphic forms on Sp(2n) with sufficiently regular infinitesimal characters and applications},
author = {Shuji Horinaga},
journal= {arXiv preprint arXiv:2006.04668},
year = {2022}
}