1Harish-Chandra Research Institute Chhatnag Road, Jhunsi Allahabad 211019, India 2School of Mathematical Sciences National Institute of Science Education and Research, Bhubaneswar Via-Jatni, Khurda 752050, Odisha, India
Acta Arithmetica, Tome 173 (2016) no. 3, pp. 283-295
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.
Keywords:
characterize cases which products arbitrary numbers nearly holomorphic eigenforms products arbitrary numbers quasimodular eigenforms full modular group operatorname mathbb again eigenforms
Affiliations des auteurs :
Arvind Kumar 
1
;
Jaban Meher 
2
1
Harish-Chandra Research Institute Chhatnag Road, Jhunsi Allahabad 211019, India
2
School of Mathematical Sciences National Institute of Science Education and Research, Bhubaneswar Via-Jatni, Khurda 752050, Odisha, India
@article{10_4064_aa8245_2_2016,
author = {Arvind Kumar and Jaban Meher},
title = {On arbitrary products of eigenforms},
journal = {Acta Arithmetica},
pages = {283--295},
year = {2016},
volume = {173},
number = {3},
doi = {10.4064/aa8245-2-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8245-2-2016/}
}
TY - JOUR
AU - Arvind Kumar
AU - Jaban Meher
TI - On arbitrary products of eigenforms
JO - Acta Arithmetica
PY - 2016
SP - 283
EP - 295
VL - 173
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UR - http://geodesic.mathdoc.fr/articles/10.4064/aa8245-2-2016/
DO - 10.4064/aa8245-2-2016
LA - en
ID - 10_4064_aa8245_2_2016
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