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arXiv:1307.1997 [math.NT]AbstractReferencesReviewsResources

On Quasi-Modular Forms, Almost Holomorphic Modular Forms, and the Vector-Valued Modular Forms of Shimura

Shaul Zemel

Published 2013-07-08, updated 2020-08-10Version 2

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.

Comments: 17 pages, minor corrections
Journal: Ramanujan J. 37 (2015) 165--180
Categories: math.NT
Subjects: 11F12, 11F32, 11F99
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