On harmonic weak Maass forms of half integral weight
Number Theory
2011-03-24 v3
Abstract
We show that certain space of vector valued harmonic weak Maass forms of half integral weight is isomorphic to a space of scalar valued ones whose Fourier coefficients are supported on suitable progressions. This kind of result for holomorphic modular forms was proved by Eichler and Zagier.
Cite
@article{arxiv.1002.1528,
title = {On harmonic weak Maass forms of half integral weight},
author = {Bumkyu Cho and YoungJu Choie},
journal= {arXiv preprint arXiv:1002.1528},
year = {2011}
}
Comments
11 pages. submitted for publication