On arbitrary products of eigenforms
Volume 173 / 2016
Acta Arithmetica 173 (2016), 283-295
MSC: Primary 11F37; Secondary 11F30, 11F25.
DOI: 10.4064/aa8245-2-2016
Published online: 2 May 2016
Abstract
We characterize all the cases in which products of arbitrary numbers of nearly holomorphic eigenforms and products of arbitrary numbers of quasimodular eigenforms for the full modular group $\operatorname{SL}_2(\mathbb{Z})$ are again eigenforms.
