Harmonic lifts of modular forms

preprint2012arXivOpen access

It is shown that each complex conjugate of a meromorphic modular form for $\mathrm{SL}_2(\mathbb{Z})$ of any complex weight $p$ occurs as the image of a harmonic modular form under the operator $2i y^p \, \partial_{\bar z}$ . These harmonic lifts occur in holomorphic families with the weight as the parameter.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Harmonic lifts of modular forms

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0