Harmonic Weak Siegel Maa{\ss} Forms I
Number Theory
2015-10-13 v1
Abstract
Given a non-holomorphic Saito-Kurokawa lift we construct a preimage under the vector-valued lowering operator. In analogy with the case of harmonic weak elliptic Maa{\ss} forms, this preimage allows for a natural decomposition into a meromorphic and a non-holomorphic part. In this way every harmonic weak Siegel Maa{\ss} form gives rise to a Siegel mock modular form.
Cite
@article{arxiv.1510.03342,
title = {Harmonic Weak Siegel Maa{\ss} Forms I},
author = {Martin Westerholt-Raum},
journal= {arXiv preprint arXiv:1510.03342},
year = {2015}
}