Harmonic lifts of modular forms
Number Theory
2012-06-25 v1
Abstract
It is shown that each complex conjugate of a meromorphic modular form for of any complex weight occurs as the image of a harmonic modular form under the operator . These harmonic lifts occur in holomorphic families with the weight as the parameter.
Keywords
Cite
@article{arxiv.1206.5118,
title = {Harmonic lifts of modular forms},
author = {Roelof W. Bruggeman},
journal= {arXiv preprint arXiv:1206.5118},
year = {2012}
}