Cohen-Kuznetsov liftings of quasimodular forms

• Autorzy: Min Ho Lee
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11F50: Jacobi forms
• 11F11: Holomorphic modular forms of integral weight

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 171
• Numer: 3
• Strony: 241-256

Daty

wydano

2015

Twórcy

autor

Min Ho Lee

• Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, U.S.A.

Identyfikatory

DOI

10.4064/aa171-3-3