On arbitrary products of eigenforms

Arvind Kumar; Jaban Meher

Acta Arithmetica (2016)

  • Volume: 173, Issue: 3, page 283-295
  • ISSN: 0065-1036

Abstract

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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.

How to cite

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Arvind Kumar, and Jaban Meher. "On arbitrary products of eigenforms." Acta Arithmetica 173.3 (2016): 283-295. <http://eudml.org/doc/286572>.

@article{ArvindKumar2016,
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 SL₂(ℤ) are again eigenforms.},
author = {Arvind Kumar, Jaban Meher},
journal = {Acta Arithmetica},
keywords = {eigenforms; quasimodular forms; nearly holomorphic modular forms},
language = {eng},
number = {3},
pages = {283-295},
title = {On arbitrary products of eigenforms},
url = {http://eudml.org/doc/286572},
volume = {173},
year = {2016},
}

TY - JOUR
AU - Arvind Kumar
AU - Jaban Meher
TI - On arbitrary products of eigenforms
JO - Acta Arithmetica
PY - 2016
VL - 173
IS - 3
SP - 283
EP - 295
AB - 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.
LA - eng
KW - eigenforms; quasimodular forms; nearly holomorphic modular forms
UR - http://eudml.org/doc/286572
ER -

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