☆ 4.3 Article

Quasimodular forms and Jacobi-like forms

MATHEMATISCHE ZEITSCHRIFT (2015)

期刊

MATHEMATISCHE ZEITSCHRIFT

卷 280, 期 3-4, 页码 643-667

出版社

SPRINGER HEIDELBERG

DOI: 10.1007/s00209-015-1441-8

关键词

Quasimodular forms; Modular forms; Jacobi-like forms

类别

Mathematics

资金

University of Northern Iowa
[NRF-2013R1A2A2A01068676]
[NRF-2014047764]

向作者/读者索取更多资源

Protocol

Reagent

摘要

We study various properties of quasimodular forms by using their connections with Jacobi-like forms. Such connections are made by identifying quasimodular forms for a discrete subgroup of with certain polynomials over the ring of holomorphic functions of the Poincar, upper half plane that are Gamma-invariant. We consider a surjective map from Jacobi-like forms to quasimodular forms and prove that it has a right inverse, which may be regarded as a lifting from quasimodular forms to Jacobi-like forms.

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