Harmonic Maass forms associated to real quadratic fields
Number Theory
2018-01-24 v2
Abstract
In this paper, we explicitly construct harmonic Maass forms that map to the weight one theta series associated by Hecke to odd ray class group characters of real quadratic fields. From this construction, we give precise arithmetic information contained in the Fourier coefficients of the holomorphic part of the harmonic Maass form, establishing the main part of a conjecture of the second author.
Keywords
Cite
@article{arxiv.1612.03351,
title = {Harmonic Maass forms associated to real quadratic fields},
author = {Pierre Charollois and Yingkun Li},
journal= {arXiv preprint arXiv:1612.03351},
year = {2018}
}
Comments
Revised introduction and section 3