A converse theorem for quasimodular forms

In this paper, we consider twisted Dirichlet series attached to quasimodular forms, study their analytic properties, and prove an analogue of Weil's converse theorem for quasimodular forms over congruence subgroups. We also give some applications of our results to a certain q-series and sign changes of the Fourier coefficients of quasimodular forms.

Automated summary

This paper examines the analytic properties of twisted Dirichlet series attached to quasimodular forms, and proves an analogous version of Weil's converse theorem for quasimodular forms over congruence subgroups. The paper also presents applications of these results to a certain q-series and the sign changes of the Fourier coefficients of quasimodular forms.