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Construction of Vector Valued Modular Forms from Jacobi Forms

Published online by Cambridge University Press:  20 November 2018

Jae-Hyun Yang*
Affiliation:
Department of Mathematics Inha University Incheon 402-751, Republic of Korea e-mail: jhyang@munhak.inha.ac.kr
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Abstract

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We give a geometrical construction of the canonical automorphic factor for the Jacobi group and construct new vector valued modular forms from Jacobi forms by differentiating them with respect to toroidal variables and then evaluating at zero.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995