Cohen-Kuznetsov liftings of quasimodular forms

Min Ho Lee. "Cohen-Kuznetsov liftings of quasimodular forms." Acta Arithmetica 171.3 (2015): 241-256. <http://eudml.org/doc/279139>.

@article{MinHoLee2015,
abstract = {Jacobi-like forms for a discrete subgroup Γ of SL(2,ℝ) are formal power series which generalize Jacobi forms, and they correspond to certain sequences of modular forms for Γ. Given a modular form f, a Jacobi-like form can be constructed by using constant multiples of derivatives of f as coefficients, which is known as the Cohen-Kuznetsov lifting of f. We extend Cohen-Kuznetsov liftings to quasimodular forms by determining an explicit formula for a Jacobi-like form associated to a quasimodular form.},
author = {Min Ho Lee},
journal = {Acta Arithmetica},
keywords = {Cohen-Kuznetsov liftings; quasimodular forms; Jacobi-like forms; modular forms},
language = {eng},
number = {3},
pages = {241-256},
title = {Cohen-Kuznetsov liftings of quasimodular forms},
url = {http://eudml.org/doc/279139},
volume = {171},
year = {2015},
}

TY - JOUR
AU - Min Ho Lee
TI - Cohen-Kuznetsov liftings of quasimodular forms
JO - Acta Arithmetica
PY - 2015
VL - 171
IS - 3
SP - 241
EP - 256
AB - Jacobi-like forms for a discrete subgroup Γ of SL(2,ℝ) are formal power series which generalize Jacobi forms, and they correspond to certain sequences of modular forms for Γ. Given a modular form f, a Jacobi-like form can be constructed by using constant multiples of derivatives of f as coefficients, which is known as the Cohen-Kuznetsov lifting of f. We extend Cohen-Kuznetsov liftings to quasimodular forms by determining an explicit formula for a Jacobi-like form associated to a quasimodular form.
LA - eng
KW - Cohen-Kuznetsov liftings; quasimodular forms; Jacobi-like forms; modular forms
UR - http://eudml.org/doc/279139
ER -