On quasi-modular forms, almost holomorphic modular forms, and the vector-valued modular forms of Shimura

Shaul Zemel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We extend the relation between quasi-modular forms and modular forms to a wider class of functions. We then relate both forms to vector-valued modular forms with symmetric power representations, and prove a general structure theorem for these vector-valued forms.

Original languageAmerican English
Pages (from-to)165-180
Number of pages16
JournalRamanujan Journal
Volume37
Issue number1
DOIs
StatePublished - 1 May 2015
Externally publishedYes

Bibliographical note

Funding Information:
The initial stage of this research has been carried out as part of my Ph.D. thesis work at the Hebrew University of Jerusalem, Israel. The final stage of this work was carried out at TU Darmstadt and supported by the Minerva Fellowship (Max-Planck-Gesellschaft).

Publisher Copyright:
© 2014, Springer Science+Business Media New York.

Keywords

  • Modular forms
  • Quasi-modular forms
  • Vector-valued modular forms

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