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	American 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

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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10.1007/s11139-014-9602-7

Cite this

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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.",

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KW - Modular forms

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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

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