top
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.
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 -