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

Shaul Zemel

doi:10.1007/s11139-014-9602-7

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 journal › Article › peer-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 language	English
Pages (from-to)	165-180
Number of pages	16
Journal	Ramanujan Journal
Volume	37
Issue number	1
DOIs	https://doi.org/10.1007/s11139-014-9602-7
State	Published - 1 May 2015
Externally published	Yes

Bibliographical note

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

Keywords

Modular forms
Quasi-modular forms
Vector-valued modular forms

Access to Document

10.1007/s11139-014-9602-7

Cite this

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AB - 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.

KW - Modular forms

KW - Quasi-modular forms

KW - Vector-valued modular forms

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

Abstract

Bibliographical note

Keywords

Access to Document

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