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

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

Keywords

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

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