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 SL₂(ℤ) are again eigenforms.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa8245-2-2016,
author = {Arvind Kumar and Jaban Meher},
title = {On arbitrary products of eigenforms},
journal = {Acta Arithmetica},
volume = {172},
year = {2016},
pages = {283-295},
zbl = {06602742},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8245-2-2016}
}
Arvind Kumar; Jaban Meher. On arbitrary products of eigenforms. Acta Arithmetica, Tome 172 (2016) pp. 283-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa8245-2-2016/