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On arbitrary products of eigenforms

Volume 173 / 2016

Arvind Kumar, Jaban Meher 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.

Authors

  • Arvind KumarHarish-Chandra Research Institute
    Chhatnag Road, Jhunsi
    Allahabad 211019, India
    e-mail
  • Jaban MeherSchool of Mathematical Sciences
    National Institute of
    Science Education and Research, Bhubaneswar
    Via-Jatni, Khurda 752050, Odisha, India
    e-mail

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